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Finding the Third Proportional to 1,110.59 and 2,397.73

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Solution

The third proportional to 1,110.59 and 2,397.73 is: 5,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.59 : 2,397.73 = 2,397.73 : x
  2. Step 2: Convert to fraction form
    1,110.59/2,397.73 = 2,397.73/x
  3. Step 3: Cross multiply
    1,110.59x = 2,397.73 × 2,397.73
  4. Step 4: Simplify right side
    1,110.59x = 5,749,092.67
  5. Step 5: Solve for x
    x = 5,749,092.67/1,110.59
  6. Step 6: Final answer
    x = 5,176.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.