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Finding the Third Proportional to 29,549 and 39,643

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Solution

The third proportional to 29,549 and 39,643 is: 53,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549 : 39,643 = 39,643 : x
  2. Step 2: Convert to fraction form
    29,549/39,643 = 39,643/x
  3. Step 3: Cross multiply
    29,549x = 39,643 × 39,643
  4. Step 4: Simplify right side
    29,549x = 1,571,567,449
  5. Step 5: Solve for x
    x = 1,571,567,449/29,549
  6. Step 6: Final answer
    x = 53,185.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.