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Finding the Third Proportional to 29,439 and 43,587

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Solution

The third proportional to 29,439 and 43,587 is: 64,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,439 : 43,587 = 43,587 : x
  2. Step 2: Convert to fraction form
    29,439/43,587 = 43,587/x
  3. Step 3: Cross multiply
    29,439x = 43,587 × 43,587
  4. Step 4: Simplify right side
    29,439x = 1,899,826,569
  5. Step 5: Solve for x
    x = 1,899,826,569/29,439
  6. Step 6: Final answer
    x = 64,534.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.