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Finding the Third Proportional to 15,752.81 and 34,041.94

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Solution

The third proportional to 15,752.81 and 34,041.94 is: 73,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.81 : 34,041.94 = 34,041.94 : x
  2. Step 2: Convert to fraction form
    15,752.81/34,041.94 = 34,041.94/x
  3. Step 3: Cross multiply
    15,752.81x = 34,041.94 × 34,041.94
  4. Step 4: Simplify right side
    15,752.81x = 1,158,853,508.75
  5. Step 5: Solve for x
    x = 1,158,853,508.75/15,752.81
  6. Step 6: Final answer
    x = 73,564.86

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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.