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Finding the Third Proportional to 19,614 and 29,604

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Solution

The third proportional to 19,614 and 29,604 is: 44,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614 : 29,604 = 29,604 : x
  2. Step 2: Convert to fraction form
    19,614/29,604 = 29,604/x
  3. Step 3: Cross multiply
    19,614x = 29,604 × 29,604
  4. Step 4: Simplify right side
    19,614x = 876,396,816
  5. Step 5: Solve for x
    x = 876,396,816/19,614
  6. Step 6: Final answer
    x = 44,682.21

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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.