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Finding the Third Proportional to 1,673.72 and 2,461.78

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Solution

The third proportional to 1,673.72 and 2,461.78 is: 3,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.72 : 2,461.78 = 2,461.78 : x
  2. Step 2: Convert to fraction form
    1,673.72/2,461.78 = 2,461.78/x
  3. Step 3: Cross multiply
    1,673.72x = 2,461.78 × 2,461.78
  4. Step 4: Simplify right side
    1,673.72x = 6,060,366.92
  5. Step 5: Solve for x
    x = 6,060,366.92/1,673.72
  6. Step 6: Final answer
    x = 3,620.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.