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Finding the Third Proportional to 3,437.44 and 6,281.72

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Solution

The third proportional to 3,437.44 and 6,281.72 is: 11,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.44 : 6,281.72 = 6,281.72 : x
  2. Step 2: Convert to fraction form
    3,437.44/6,281.72 = 6,281.72/x
  3. Step 3: Cross multiply
    3,437.44x = 6,281.72 × 6,281.72
  4. Step 4: Simplify right side
    3,437.44x = 39,459,990.45
  5. Step 5: Solve for x
    x = 39,459,990.45/3,437.44
  6. Step 6: Final answer
    x = 11,479.48

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.