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Finding the Third Proportional to 3,624.12 and 7,948.76

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Solution

The third proportional to 3,624.12 and 7,948.76 is: 17,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.12 : 7,948.76 = 7,948.76 : x
  2. Step 2: Convert to fraction form
    3,624.12/7,948.76 = 7,948.76/x
  3. Step 3: Cross multiply
    3,624.12x = 7,948.76 × 7,948.76
  4. Step 4: Simplify right side
    3,624.12x = 63,182,750.76
  5. Step 5: Solve for x
    x = 63,182,750.76/3,624.12
  6. Step 6: Final answer
    x = 17,433.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.