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Finding the Third Proportional to 27,232 and 58,729

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Solution

The third proportional to 27,232 and 58,729 is: 126,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 58,729 = 58,729 : x
  2. Step 2: Convert to fraction form
    27,232/58,729 = 58,729/x
  3. Step 3: Cross multiply
    27,232x = 58,729 × 58,729
  4. Step 4: Simplify right side
    27,232x = 3,449,095,441
  5. Step 5: Solve for x
    x = 3,449,095,441/27,232
  6. Step 6: Final answer
    x = 126,655.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.