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Finding the Third Proportional to 10,294 and 22,516

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Solution

The third proportional to 10,294 and 22,516 is: 49,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294 : 22,516 = 22,516 : x
  2. Step 2: Convert to fraction form
    10,294/22,516 = 22,516/x
  3. Step 3: Cross multiply
    10,294x = 22,516 × 22,516
  4. Step 4: Simplify right side
    10,294x = 506,970,256
  5. Step 5: Solve for x
    x = 506,970,256/10,294
  6. Step 6: Final answer
    x = 49,249.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.