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Finding the Third Proportional to 10,460 and 22,438

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Solution

The third proportional to 10,460 and 22,438 is: 48,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460 : 22,438 = 22,438 : x
  2. Step 2: Convert to fraction form
    10,460/22,438 = 22,438/x
  3. Step 3: Cross multiply
    10,460x = 22,438 × 22,438
  4. Step 4: Simplify right side
    10,460x = 503,463,844
  5. Step 5: Solve for x
    x = 503,463,844/10,460
  6. Step 6: Final answer
    x = 48,132.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.