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Finding the Third Proportional to 27,972 and 40,454

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Solution

The third proportional to 27,972 and 40,454 is: 58,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972 : 40,454 = 40,454 : x
  2. Step 2: Convert to fraction form
    27,972/40,454 = 40,454/x
  3. Step 3: Cross multiply
    27,972x = 40,454 × 40,454
  4. Step 4: Simplify right side
    27,972x = 1,636,526,116
  5. Step 5: Solve for x
    x = 1,636,526,116/27,972
  6. Step 6: Final answer
    x = 58,505.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.