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Finding the Third Proportional to 22,358 and 52,781

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Solution

The third proportional to 22,358 and 52,781 is: 124,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358 : 52,781 = 52,781 : x
  2. Step 2: Convert to fraction form
    22,358/52,781 = 52,781/x
  3. Step 3: Cross multiply
    22,358x = 52,781 × 52,781
  4. Step 4: Simplify right side
    22,358x = 2,785,833,961
  5. Step 5: Solve for x
    x = 2,785,833,961/22,358
  6. Step 6: Final answer
    x = 124,601.21

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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.