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Finding the Third Proportional to 32,079.80 and 66,192.19

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Solution

The third proportional to 32,079.80 and 66,192.19 is: 136,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,079.80 : 66,192.19 = 66,192.19 : x
  2. Step 2: Convert to fraction form
    32,079.80/66,192.19 = 66,192.19/x
  3. Step 3: Cross multiply
    32,079.80x = 66,192.19 × 66,192.19
  4. Step 4: Simplify right side
    32,079.80x = 4,381,405,686.04
  5. Step 5: Solve for x
    x = 4,381,405,686.04/32,079.80
  6. Step 6: Final answer
    x = 136,578.35

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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.