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Finding the Third Proportional to 22,141.13 and 47,781.56

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Solution

The third proportional to 22,141.13 and 47,781.56 is: 103,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.13 : 47,781.56 = 47,781.56 : x
  2. Step 2: Convert to fraction form
    22,141.13/47,781.56 = 47,781.56/x
  3. Step 3: Cross multiply
    22,141.13x = 47,781.56 × 47,781.56
  4. Step 4: Simplify right side
    22,141.13x = 2,283,077,714.94
  5. Step 5: Solve for x
    x = 2,283,077,714.94/22,141.13
  6. Step 6: Final answer
    x = 103,114.80

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Why These Related Problems?

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