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Finding the Third Proportional to 4,282.88 and 6,515.44

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Solution

The third proportional to 4,282.88 and 6,515.44 is: 9,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.88 : 6,515.44 = 6,515.44 : x
  2. Step 2: Convert to fraction form
    4,282.88/6,515.44 = 6,515.44/x
  3. Step 3: Cross multiply
    4,282.88x = 6,515.44 × 6,515.44
  4. Step 4: Simplify right side
    4,282.88x = 42,450,925.82
  5. Step 5: Solve for x
    x = 42,450,925.82/4,282.88
  6. Step 6: Final answer
    x = 9,911.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.