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Finding the Third Proportional to 27,785 and 59,539

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Solution

The third proportional to 27,785 and 59,539 is: 127,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785 : 59,539 = 59,539 : x
  2. Step 2: Convert to fraction form
    27,785/59,539 = 59,539/x
  3. Step 3: Cross multiply
    27,785x = 59,539 × 59,539
  4. Step 4: Simplify right side
    27,785x = 3,544,892,521
  5. Step 5: Solve for x
    x = 3,544,892,521/27,785
  6. Step 6: Final answer
    x = 127,582.96

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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.