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Finding the Third Proportional to 1,795.92 and 2,686.29

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Solution

The third proportional to 1,795.92 and 2,686.29 is: 4,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.92 : 2,686.29 = 2,686.29 : x
  2. Step 2: Convert to fraction form
    1,795.92/2,686.29 = 2,686.29/x
  3. Step 3: Cross multiply
    1,795.92x = 2,686.29 × 2,686.29
  4. Step 4: Simplify right side
    1,795.92x = 7,216,148.93
  5. Step 5: Solve for x
    x = 7,216,148.93/1,795.92
  6. Step 6: Final answer
    x = 4,018.08

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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.