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Finding the Third Proportional to 27,606 and 59,580

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Solution

The third proportional to 27,606 and 59,580 is: 128,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606 : 59,580 = 59,580 : x
  2. Step 2: Convert to fraction form
    27,606/59,580 = 59,580/x
  3. Step 3: Cross multiply
    27,606x = 59,580 × 59,580
  4. Step 4: Simplify right side
    27,606x = 3,549,776,400
  5. Step 5: Solve for x
    x = 3,549,776,400/27,606
  6. Step 6: Final answer
    x = 128,587.13

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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.