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Finding the Third Proportional to 2,479.78 and 3,715.03

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Solution

The third proportional to 2,479.78 and 3,715.03 is: 5,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.78 : 3,715.03 = 3,715.03 : x
  2. Step 2: Convert to fraction form
    2,479.78/3,715.03 = 3,715.03/x
  3. Step 3: Cross multiply
    2,479.78x = 3,715.03 × 3,715.03
  4. Step 4: Simplify right side
    2,479.78x = 13,801,457.19
  5. Step 5: Solve for x
    x = 13,801,457.19/2,479.78
  6. Step 6: Final answer
    x = 5,565.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.