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Finding the Third Proportional to 26,972 and 58,320

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Solution

The third proportional to 26,972 and 58,320 is: 126,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972 : 58,320 = 58,320 : x
  2. Step 2: Convert to fraction form
    26,972/58,320 = 58,320/x
  3. Step 3: Cross multiply
    26,972x = 58,320 × 58,320
  4. Step 4: Simplify right side
    26,972x = 3,401,222,400
  5. Step 5: Solve for x
    x = 3,401,222,400/26,972
  6. Step 6: Final answer
    x = 126,101.97

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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.