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Finding the Third Proportional to 19,656 and 29,414

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Solution

The third proportional to 19,656 and 29,414 is: 44,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656 : 29,414 = 29,414 : x
  2. Step 2: Convert to fraction form
    19,656/29,414 = 29,414/x
  3. Step 3: Cross multiply
    19,656x = 29,414 × 29,414
  4. Step 4: Simplify right side
    19,656x = 865,183,396
  5. Step 5: Solve for x
    x = 865,183,396/19,656
  6. Step 6: Final answer
    x = 44,016.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.