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Finding the Third Proportional to 3,217.50 and 5,098.50

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Solution

The third proportional to 3,217.50 and 5,098.50 is: 8,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.50 : 5,098.50 = 5,098.50 : x
  2. Step 2: Convert to fraction form
    3,217.50/5,098.50 = 5,098.50/x
  3. Step 3: Cross multiply
    3,217.50x = 5,098.50 × 5,098.50
  4. Step 4: Simplify right side
    3,217.50x = 25,994,702.25
  5. Step 5: Solve for x
    x = 25,994,702.25/3,217.50
  6. Step 6: Final answer
    x = 8,079.16

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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.