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Finding the Third Proportional to 37,143 and 54,292

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Solution

The third proportional to 37,143 and 54,292 is: 79,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,143 : 54,292 = 54,292 : x
  2. Step 2: Convert to fraction form
    37,143/54,292 = 54,292/x
  3. Step 3: Cross multiply
    37,143x = 54,292 × 54,292
  4. Step 4: Simplify right side
    37,143x = 2,947,621,264
  5. Step 5: Solve for x
    x = 2,947,621,264/37,143
  6. Step 6: Final answer
    x = 79,358.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.