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Finding the Third Proportional to 27,540 and 59,455

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Solution

The third proportional to 27,540 and 59,455 is: 128,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540 : 59,455 = 59,455 : x
  2. Step 2: Convert to fraction form
    27,540/59,455 = 59,455/x
  3. Step 3: Cross multiply
    27,540x = 59,455 × 59,455
  4. Step 4: Simplify right side
    27,540x = 3,534,897,025
  5. Step 5: Solve for x
    x = 3,534,897,025/27,540
  6. Step 6: Final answer
    x = 128,355.01

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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.