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Finding the Third Proportional to 24,834 and 38,478

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Solution

The third proportional to 24,834 and 38,478 is: 59,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834 : 38,478 = 38,478 : x
  2. Step 2: Convert to fraction form
    24,834/38,478 = 38,478/x
  3. Step 3: Cross multiply
    24,834x = 38,478 × 38,478
  4. Step 4: Simplify right side
    24,834x = 1,480,556,484
  5. Step 5: Solve for x
    x = 1,480,556,484/24,834
  6. Step 6: Final answer
    x = 59,618.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.