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Finding the Third Proportional to 14,747.25 and 32,086.13

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Solution

The third proportional to 14,747.25 and 32,086.13 is: 69,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.25 : 32,086.13 = 32,086.13 : x
  2. Step 2: Convert to fraction form
    14,747.25/32,086.13 = 32,086.13/x
  3. Step 3: Cross multiply
    14,747.25x = 32,086.13 × 32,086.13
  4. Step 4: Simplify right side
    14,747.25x = 1,029,519,417.52
  5. Step 5: Solve for x
    x = 1,029,519,417.52/14,747.25
  6. Step 6: Final answer
    x = 69,810.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.