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Finding the Third Proportional to 37,431 and 54,750

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Solution

The third proportional to 37,431 and 54,750 is: 80,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431 : 54,750 = 54,750 : x
  2. Step 2: Convert to fraction form
    37,431/54,750 = 54,750/x
  3. Step 3: Cross multiply
    37,431x = 54,750 × 54,750
  4. Step 4: Simplify right side
    37,431x = 2,997,562,500
  5. Step 5: Solve for x
    x = 2,997,562,500/37,431
  6. Step 6: Final answer
    x = 80,082.35

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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.