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Finding the Third Proportional to 22,701.38 and 47,881.13

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Solution

The third proportional to 22,701.38 and 47,881.13 is: 100,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.38 : 47,881.13 = 47,881.13 : x
  2. Step 2: Convert to fraction form
    22,701.38/47,881.13 = 47,881.13/x
  3. Step 3: Cross multiply
    22,701.38x = 47,881.13 × 47,881.13
  4. Step 4: Simplify right side
    22,701.38x = 2,292,602,131.27
  5. Step 5: Solve for x
    x = 2,292,602,131.27/22,701.38
  6. Step 6: Final answer
    x = 100,989.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.