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Finding the Third Proportional to 37,371 and 54,963

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Solution

The third proportional to 37,371 and 54,963 is: 80,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,371 : 54,963 = 54,963 : x
  2. Step 2: Convert to fraction form
    37,371/54,963 = 54,963/x
  3. Step 3: Cross multiply
    37,371x = 54,963 × 54,963
  4. Step 4: Simplify right side
    37,371x = 3,020,931,369
  5. Step 5: Solve for x
    x = 3,020,931,369/37,371
  6. Step 6: Final answer
    x = 80,836.25

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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.