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Finding the Third Proportional to 27,702 and 59,373

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Solution

The third proportional to 27,702 and 59,373 is: 127,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 59,373 = 59,373 : x
  2. Step 2: Convert to fraction form
    27,702/59,373 = 59,373/x
  3. Step 3: Cross multiply
    27,702x = 59,373 × 59,373
  4. Step 4: Simplify right side
    27,702x = 3,525,153,129
  5. Step 5: Solve for x
    x = 3,525,153,129/27,702
  6. Step 6: Final answer
    x = 127,252.66

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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.