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Finding the Third Proportional to 27,815 and 59,587

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Solution

The third proportional to 27,815 and 59,587 is: 127,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815 : 59,587 = 59,587 : x
  2. Step 2: Convert to fraction form
    27,815/59,587 = 59,587/x
  3. Step 3: Cross multiply
    27,815x = 59,587 × 59,587
  4. Step 4: Simplify right side
    27,815x = 3,550,610,569
  5. Step 5: Solve for x
    x = 3,550,610,569/27,815
  6. Step 6: Final answer
    x = 127,650.93

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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.