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Finding the Third Proportional to 10,214 and 22,432

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Solution

The third proportional to 10,214 and 22,432 is: 49,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214 : 22,432 = 22,432 : x
  2. Step 2: Convert to fraction form
    10,214/22,432 = 22,432/x
  3. Step 3: Cross multiply
    10,214x = 22,432 × 22,432
  4. Step 4: Simplify right side
    10,214x = 503,194,624
  5. Step 5: Solve for x
    x = 503,194,624/10,214
  6. Step 6: Final answer
    x = 49,265.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.