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Finding the Third Proportional to 27,044 and 59,416

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Solution

The third proportional to 27,044 and 59,416 is: 130,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,044 : 59,416 = 59,416 : x
  2. Step 2: Convert to fraction form
    27,044/59,416 = 59,416/x
  3. Step 3: Cross multiply
    27,044x = 59,416 × 59,416
  4. Step 4: Simplify right side
    27,044x = 3,530,261,056
  5. Step 5: Solve for x
    x = 3,530,261,056/27,044
  6. Step 6: Final answer
    x = 130,537.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.