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Finding the Third Proportional to 24,084 and 35,397

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Solution

The third proportional to 24,084 and 35,397 is: 52,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,084 : 35,397 = 35,397 : x
  2. Step 2: Convert to fraction form
    24,084/35,397 = 35,397/x
  3. Step 3: Cross multiply
    24,084x = 35,397 × 35,397
  4. Step 4: Simplify right side
    24,084x = 1,252,947,609
  5. Step 5: Solve for x
    x = 1,252,947,609/24,084
  6. Step 6: Final answer
    x = 52,024.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.