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Finding the Third Proportional to 27,937 and 60,230

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Solution

The third proportional to 27,937 and 60,230 is: 129,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937 : 60,230 = 60,230 : x
  2. Step 2: Convert to fraction form
    27,937/60,230 = 60,230/x
  3. Step 3: Cross multiply
    27,937x = 60,230 × 60,230
  4. Step 4: Simplify right side
    27,937x = 3,627,652,900
  5. Step 5: Solve for x
    x = 3,627,652,900/27,937
  6. Step 6: Final answer
    x = 129,851.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.