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Finding the Third Proportional to 37,982 and 61,023

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Solution

The third proportional to 37,982 and 61,023 is: 98,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982 : 61,023 = 61,023 : x
  2. Step 2: Convert to fraction form
    37,982/61,023 = 61,023/x
  3. Step 3: Cross multiply
    37,982x = 61,023 × 61,023
  4. Step 4: Simplify right side
    37,982x = 3,723,806,529
  5. Step 5: Solve for x
    x = 3,723,806,529/37,982
  6. Step 6: Final answer
    x = 98,041.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.