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Finding the Third Proportional to 1,701.84 and 2,634.61

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Solution

The third proportional to 1,701.84 and 2,634.61 is: 4,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.84 : 2,634.61 = 2,634.61 : x
  2. Step 2: Convert to fraction form
    1,701.84/2,634.61 = 2,634.61/x
  3. Step 3: Cross multiply
    1,701.84x = 2,634.61 × 2,634.61
  4. Step 4: Simplify right side
    1,701.84x = 6,941,166.56
  5. Step 5: Solve for x
    x = 6,941,166.56/1,701.84
  6. Step 6: Final answer
    x = 4,078.62

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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.