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Finding the Third Proportional to 1,673.16 and 2,508.47

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Solution

The third proportional to 1,673.16 and 2,508.47 is: 3,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.16 : 2,508.47 = 2,508.47 : x
  2. Step 2: Convert to fraction form
    1,673.16/2,508.47 = 2,508.47/x
  3. Step 3: Cross multiply
    1,673.16x = 2,508.47 × 2,508.47
  4. Step 4: Simplify right side
    1,673.16x = 6,292,415.47
  5. Step 5: Solve for x
    x = 6,292,415.47/1,673.16
  6. Step 6: Final answer
    x = 3,760.81

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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.