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Finding the Third Proportional to 27,182 and 58,332

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Solution

The third proportional to 27,182 and 58,332 is: 125,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182 : 58,332 = 58,332 : x
  2. Step 2: Convert to fraction form
    27,182/58,332 = 58,332/x
  3. Step 3: Cross multiply
    27,182x = 58,332 × 58,332
  4. Step 4: Simplify right side
    27,182x = 3,402,622,224
  5. Step 5: Solve for x
    x = 3,402,622,224/27,182
  6. Step 6: Final answer
    x = 125,179.24

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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.