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Finding the Third Proportional to 35,643 and 55,449

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Solution

The third proportional to 35,643 and 55,449 is: 86,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643 : 55,449 = 55,449 : x
  2. Step 2: Convert to fraction form
    35,643/55,449 = 55,449/x
  3. Step 3: Cross multiply
    35,643x = 55,449 × 55,449
  4. Step 4: Simplify right side
    35,643x = 3,074,591,601
  5. Step 5: Solve for x
    x = 3,074,591,601/35,643
  6. Step 6: Final answer
    x = 86,260.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.