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Finding the Third Proportional to 27,313 and 58,778

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Solution

The third proportional to 27,313 and 58,778 is: 126,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313 : 58,778 = 58,778 : x
  2. Step 2: Convert to fraction form
    27,313/58,778 = 58,778/x
  3. Step 3: Cross multiply
    27,313x = 58,778 × 58,778
  4. Step 4: Simplify right side
    27,313x = 3,454,853,284
  5. Step 5: Solve for x
    x = 3,454,853,284/27,313
  6. Step 6: Final answer
    x = 126,491.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.