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Finding the Third Proportional to 32,000.06 and 66,042.84

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Solution

The third proportional to 32,000.06 and 66,042.84 is: 136,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.06 : 66,042.84 = 66,042.84 : x
  2. Step 2: Convert to fraction form
    32,000.06/66,042.84 = 66,042.84/x
  3. Step 3: Cross multiply
    32,000.06x = 66,042.84 × 66,042.84
  4. Step 4: Simplify right side
    32,000.06x = 4,361,657,210.59
  5. Step 5: Solve for x
    x = 4,361,657,210.59/32,000.06
  6. Step 6: Final answer
    x = 136,301.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.