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Finding the Third Proportional to 2,454.47 and 3,673.69

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Solution

The third proportional to 2,454.47 and 3,673.69 is: 5,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.47 : 3,673.69 = 3,673.69 : x
  2. Step 2: Convert to fraction form
    2,454.47/3,673.69 = 3,673.69/x
  3. Step 3: Cross multiply
    2,454.47x = 3,673.69 × 3,673.69
  4. Step 4: Simplify right side
    2,454.47x = 13,495,979.85
  5. Step 5: Solve for x
    x = 13,495,979.85/2,454.47
  6. Step 6: Final answer
    x = 5,498.53

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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.