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Finding the Third Proportional to 38,996.44 and 58,411.13

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Solution

The third proportional to 38,996.44 and 58,411.13 is: 87,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,996.44 : 58,411.13 = 58,411.13 : x
  2. Step 2: Convert to fraction form
    38,996.44/58,411.13 = 58,411.13/x
  3. Step 3: Cross multiply
    38,996.44x = 58,411.13 × 58,411.13
  4. Step 4: Simplify right side
    38,996.44x = 3,411,859,523.77
  5. Step 5: Solve for x
    x = 3,411,859,523.77/38,996.44
  6. Step 6: Final answer
    x = 87,491.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.