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Finding the Third Proportional to 14,707.69 and 32,149.13

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Solution

The third proportional to 14,707.69 and 32,149.13 is: 70,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.69 : 32,149.13 = 32,149.13 : x
  2. Step 2: Convert to fraction form
    14,707.69/32,149.13 = 32,149.13/x
  3. Step 3: Cross multiply
    14,707.69x = 32,149.13 × 32,149.13
  4. Step 4: Simplify right side
    14,707.69x = 1,033,566,238.27
  5. Step 5: Solve for x
    x = 1,033,566,238.27/14,707.69
  6. Step 6: Final answer
    x = 70,273.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.