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Finding the Third Proportional to 27,865 and 60,808

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Solution

The third proportional to 27,865 and 60,808 is: 132,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865 : 60,808 = 60,808 : x
  2. Step 2: Convert to fraction form
    27,865/60,808 = 60,808/x
  3. Step 3: Cross multiply
    27,865x = 60,808 × 60,808
  4. Step 4: Simplify right side
    27,865x = 3,697,612,864
  5. Step 5: Solve for x
    x = 3,697,612,864/27,865
  6. Step 6: Final answer
    x = 132,697.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.