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Finding the Third Proportional to 1,917.42 and 3,116.29

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Solution

The third proportional to 1,917.42 and 3,116.29 is: 5,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.42 : 3,116.29 = 3,116.29 : x
  2. Step 2: Convert to fraction form
    1,917.42/3,116.29 = 3,116.29/x
  3. Step 3: Cross multiply
    1,917.42x = 3,116.29 × 3,116.29
  4. Step 4: Simplify right side
    1,917.42x = 9,711,233.18
  5. Step 5: Solve for x
    x = 9,711,233.18/1,917.42
  6. Step 6: Final answer
    x = 5,064.73

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.