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Finding the Third Proportional to 27,931 and 59,861

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Solution

The third proportional to 27,931 and 59,861 is: 128,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931 : 59,861 = 59,861 : x
  2. Step 2: Convert to fraction form
    27,931/59,861 = 59,861/x
  3. Step 3: Cross multiply
    27,931x = 59,861 × 59,861
  4. Step 4: Simplify right side
    27,931x = 3,583,339,321
  5. Step 5: Solve for x
    x = 3,583,339,321/27,931
  6. Step 6: Final answer
    x = 128,292.55

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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.