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Finding the Third Proportional to 22,468 and 52,943

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Solution

The third proportional to 22,468 and 52,943 is: 124,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468 : 52,943 = 52,943 : x
  2. Step 2: Convert to fraction form
    22,468/52,943 = 52,943/x
  3. Step 3: Cross multiply
    22,468x = 52,943 × 52,943
  4. Step 4: Simplify right side
    22,468x = 2,802,961,249
  5. Step 5: Solve for x
    x = 2,802,961,249/22,468
  6. Step 6: Final answer
    x = 124,753.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.