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Finding the Third Proportional to 1,706.91 and 2,281.92

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Solution

The third proportional to 1,706.91 and 2,281.92 is: 3,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.91 : 2,281.92 = 2,281.92 : x
  2. Step 2: Convert to fraction form
    1,706.91/2,281.92 = 2,281.92/x
  3. Step 3: Cross multiply
    1,706.91x = 2,281.92 × 2,281.92
  4. Step 4: Simplify right side
    1,706.91x = 5,207,167.44
  5. Step 5: Solve for x
    x = 5,207,167.44/1,706.91
  6. Step 6: Final answer
    x = 3,050.65

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.