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Finding the Third Proportional to 22,662 and 42,468

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Solution

The third proportional to 22,662 and 42,468 is: 79,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662 : 42,468 = 42,468 : x
  2. Step 2: Convert to fraction form
    22,662/42,468 = 42,468/x
  3. Step 3: Cross multiply
    22,662x = 42,468 × 42,468
  4. Step 4: Simplify right side
    22,662x = 1,803,531,024
  5. Step 5: Solve for x
    x = 1,803,531,024/22,662
  6. Step 6: Final answer
    x = 79,583.93

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.