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Finding the Third Proportional to 22,743 and 40,564.13

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Solution

The third proportional to 22,743 and 40,564.13 is: 72,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743 : 40,564.13 = 40,564.13 : x
  2. Step 2: Convert to fraction form
    22,743/40,564.13 = 40,564.13/x
  3. Step 3: Cross multiply
    22,743x = 40,564.13 × 40,564.13
  4. Step 4: Simplify right side
    22,743x = 1,645,448,237.02
  5. Step 5: Solve for x
    x = 1,645,448,237.02/22,743
  6. Step 6: Final answer
    x = 72,349.66

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.