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Finding the Third Proportional to 27,416 and 59,062

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Solution

The third proportional to 27,416 and 59,062 is: 127,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416 : 59,062 = 59,062 : x
  2. Step 2: Convert to fraction form
    27,416/59,062 = 59,062/x
  3. Step 3: Cross multiply
    27,416x = 59,062 × 59,062
  4. Step 4: Simplify right side
    27,416x = 3,488,319,844
  5. Step 5: Solve for x
    x = 3,488,319,844/27,416
  6. Step 6: Final answer
    x = 127,236.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.