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Finding the Third Proportional to 27,675 and 59,298

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Solution

The third proportional to 27,675 and 59,298 is: 127,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675 : 59,298 = 59,298 : x
  2. Step 2: Convert to fraction form
    27,675/59,298 = 59,298/x
  3. Step 3: Cross multiply
    27,675x = 59,298 × 59,298
  4. Step 4: Simplify right side
    27,675x = 3,516,252,804
  5. Step 5: Solve for x
    x = 3,516,252,804/27,675
  6. Step 6: Final answer
    x = 127,055.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.