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Finding the Third Proportional to 37,076 and 54,634

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Solution

The third proportional to 37,076 and 54,634 is: 80,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,076 : 54,634 = 54,634 : x
  2. Step 2: Convert to fraction form
    37,076/54,634 = 54,634/x
  3. Step 3: Cross multiply
    37,076x = 54,634 × 54,634
  4. Step 4: Simplify right side
    37,076x = 2,984,873,956
  5. Step 5: Solve for x
    x = 2,984,873,956/37,076
  6. Step 6: Final answer
    x = 80,506.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.