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Finding the Third Proportional to 988.75 and 2,149.50

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Solution

The third proportional to 988.75 and 2,149.50 is: 4,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.75 : 2,149.50 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    988.75/2,149.50 = 2,149.50/x
  3. Step 3: Cross multiply
    988.75x = 2,149.50 × 2,149.50
  4. Step 4: Simplify right side
    988.75x = 4,620,350.25
  5. Step 5: Solve for x
    x = 4,620,350.25/988.75
  6. Step 6: Final answer
    x = 4,672.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.