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Finding the Third Proportional to 1,041.84 and 1,612.69

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Solution

The third proportional to 1,041.84 and 1,612.69 is: 2,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.84 : 1,612.69 = 1,612.69 : x
  2. Step 2: Convert to fraction form
    1,041.84/1,612.69 = 1,612.69/x
  3. Step 3: Cross multiply
    1,041.84x = 1,612.69 × 1,612.69
  4. Step 4: Simplify right side
    1,041.84x = 2,600,760.97
  5. Step 5: Solve for x
    x = 2,600,760.97/1,041.84
  6. Step 6: Final answer
    x = 2,496.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.