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Finding the Third Proportional to 23,491.13 and 36,397.69

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Solution

The third proportional to 23,491.13 and 36,397.69 is: 56,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.13 : 36,397.69 = 36,397.69 : x
  2. Step 2: Convert to fraction form
    23,491.13/36,397.69 = 36,397.69/x
  3. Step 3: Cross multiply
    23,491.13x = 36,397.69 × 36,397.69
  4. Step 4: Simplify right side
    23,491.13x = 1,324,791,655.35
  5. Step 5: Solve for x
    x = 1,324,791,655.35/23,491.13
  6. Step 6: Final answer
    x = 56,395.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.