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Finding the Third Proportional to 29,350 and 63,484

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Solution

The third proportional to 29,350 and 63,484 is: 137,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,350 : 63,484 = 63,484 : x
  2. Step 2: Convert to fraction form
    29,350/63,484 = 63,484/x
  3. Step 3: Cross multiply
    29,350x = 63,484 × 63,484
  4. Step 4: Simplify right side
    29,350x = 4,030,218,256
  5. Step 5: Solve for x
    x = 4,030,218,256/29,350
  6. Step 6: Final answer
    x = 137,315.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.