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Finding the Third Proportional to 12,452 and 19,484

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Solution

The third proportional to 12,452 and 19,484 is: 30,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452 : 19,484 = 19,484 : x
  2. Step 2: Convert to fraction form
    12,452/19,484 = 19,484/x
  3. Step 3: Cross multiply
    12,452x = 19,484 × 19,484
  4. Step 4: Simplify right side
    12,452x = 379,626,256
  5. Step 5: Solve for x
    x = 379,626,256/12,452
  6. Step 6: Final answer
    x = 30,487.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.