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Finding the Third Proportional to 15,909.75 and 34,347.38

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Solution

The third proportional to 15,909.75 and 34,347.38 is: 74,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.75 : 34,347.38 = 34,347.38 : x
  2. Step 2: Convert to fraction form
    15,909.75/34,347.38 = 34,347.38/x
  3. Step 3: Cross multiply
    15,909.75x = 34,347.38 × 34,347.38
  4. Step 4: Simplify right side
    15,909.75x = 1,179,742,169.39
  5. Step 5: Solve for x
    x = 1,179,742,169.39/15,909.75
  6. Step 6: Final answer
    x = 74,152.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.