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Finding the Third Proportional to 19,415 and 29,092

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Solution

The third proportional to 19,415 and 29,092 is: 43,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415 : 29,092 = 29,092 : x
  2. Step 2: Convert to fraction form
    19,415/29,092 = 29,092/x
  3. Step 3: Cross multiply
    19,415x = 29,092 × 29,092
  4. Step 4: Simplify right side
    19,415x = 846,344,464
  5. Step 5: Solve for x
    x = 846,344,464/19,415
  6. Step 6: Final answer
    x = 43,592.30

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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.