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Finding the Third Proportional to 1,984.50 and 3,139.17

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Solution

The third proportional to 1,984.50 and 3,139.17 is: 4,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.50 : 3,139.17 = 3,139.17 : x
  2. Step 2: Convert to fraction form
    1,984.50/3,139.17 = 3,139.17/x
  3. Step 3: Cross multiply
    1,984.50x = 3,139.17 × 3,139.17
  4. Step 4: Simplify right side
    1,984.50x = 9,854,400.06
  5. Step 5: Solve for x
    x = 9,854,400.06/1,984.50
  6. Step 6: Final answer
    x = 4,965.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.