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Finding the Third Proportional to 27,587 and 59,546

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Solution

The third proportional to 27,587 and 59,546 is: 128,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587 : 59,546 = 59,546 : x
  2. Step 2: Convert to fraction form
    27,587/59,546 = 59,546/x
  3. Step 3: Cross multiply
    27,587x = 59,546 × 59,546
  4. Step 4: Simplify right side
    27,587x = 3,545,726,116
  5. Step 5: Solve for x
    x = 3,545,726,116/27,587
  6. Step 6: Final answer
    x = 128,528.88

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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.