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Finding the Third Proportional to 27,206 and 58,560

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Solution

The third proportional to 27,206 and 58,560 is: 126,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206 : 58,560 = 58,560 : x
  2. Step 2: Convert to fraction form
    27,206/58,560 = 58,560/x
  3. Step 3: Cross multiply
    27,206x = 58,560 × 58,560
  4. Step 4: Simplify right side
    27,206x = 3,429,273,600
  5. Step 5: Solve for x
    x = 3,429,273,600/27,206
  6. Step 6: Final answer
    x = 126,048.43

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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.