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Finding the Third Proportional to 15,781.92 and 33,752.74

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Solution

The third proportional to 15,781.92 and 33,752.74 is: 72,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.92 : 33,752.74 = 33,752.74 : x
  2. Step 2: Convert to fraction form
    15,781.92/33,752.74 = 33,752.74/x
  3. Step 3: Cross multiply
    15,781.92x = 33,752.74 × 33,752.74
  4. Step 4: Simplify right side
    15,781.92x = 1,139,247,605.18
  5. Step 5: Solve for x
    x = 1,139,247,605.18/15,781.92
  6. Step 6: Final answer
    x = 72,186.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.