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Finding the Third Proportional to 7,449.75 and 15,511.88

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Solution

The third proportional to 7,449.75 and 15,511.88 is: 32,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.75 : 15,511.88 = 15,511.88 : x
  2. Step 2: Convert to fraction form
    7,449.75/15,511.88 = 15,511.88/x
  3. Step 3: Cross multiply
    7,449.75x = 15,511.88 × 15,511.88
  4. Step 4: Simplify right side
    7,449.75x = 240,618,266.02
  5. Step 5: Solve for x
    x = 240,618,266.02/7,449.75
  6. Step 6: Final answer
    x = 32,298.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.