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Finding the Third Proportional to 32,007.66 and 46,108.13

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Solution

The third proportional to 32,007.66 and 46,108.13 is: 66,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.66 : 46,108.13 = 46,108.13 : x
  2. Step 2: Convert to fraction form
    32,007.66/46,108.13 = 46,108.13/x
  3. Step 3: Cross multiply
    32,007.66x = 46,108.13 × 46,108.13
  4. Step 4: Simplify right side
    32,007.66x = 2,125,959,191.02
  5. Step 5: Solve for x
    x = 2,125,959,191.02/32,007.66
  6. Step 6: Final answer
    x = 66,420.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.