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Finding the Third Proportional to 19,536 and 29,478

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Solution

The third proportional to 19,536 and 29,478 is: 44,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 29,478 = 29,478 : x
  2. Step 2: Convert to fraction form
    19,536/29,478 = 29,478/x
  3. Step 3: Cross multiply
    19,536x = 29,478 × 29,478
  4. Step 4: Simplify right side
    19,536x = 868,952,484
  5. Step 5: Solve for x
    x = 868,952,484/19,536
  6. Step 6: Final answer
    x = 44,479.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.