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Finding the Third Proportional to 2,566.13 and 4,079.81

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Solution

The third proportional to 2,566.13 and 4,079.81 is: 6,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.13 : 4,079.81 = 4,079.81 : x
  2. Step 2: Convert to fraction form
    2,566.13/4,079.81 = 4,079.81/x
  3. Step 3: Cross multiply
    2,566.13x = 4,079.81 × 4,079.81
  4. Step 4: Simplify right side
    2,566.13x = 16,644,870.04
  5. Step 5: Solve for x
    x = 16,644,870.04/2,566.13
  6. Step 6: Final answer
    x = 6,486.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.