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Finding the Third Proportional to 10,397 and 22,522

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Solution

The third proportional to 10,397 and 22,522 is: 48,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397 : 22,522 = 22,522 : x
  2. Step 2: Convert to fraction form
    10,397/22,522 = 22,522/x
  3. Step 3: Cross multiply
    10,397x = 22,522 × 22,522
  4. Step 4: Simplify right side
    10,397x = 507,240,484
  5. Step 5: Solve for x
    x = 507,240,484/10,397
  6. Step 6: Final answer
    x = 48,787.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.