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Finding the Third Proportional to 616.13 and 1,639.88

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Solution

The third proportional to 616.13 and 1,639.88 is: 4,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.13 : 1,639.88 = 1,639.88 : x
  2. Step 2: Convert to fraction form
    616.13/1,639.88 = 1,639.88/x
  3. Step 3: Cross multiply
    616.13x = 1,639.88 × 1,639.88
  4. Step 4: Simplify right side
    616.13x = 2,689,190.02
  5. Step 5: Solve for x
    x = 2,689,190.02/616.13
  6. Step 6: Final answer
    x = 4,364.68

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.