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Finding the Third Proportional to 1,087.73 and 2,348.72

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Solution

The third proportional to 1,087.73 and 2,348.72 is: 5,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.73 : 2,348.72 = 2,348.72 : x
  2. Step 2: Convert to fraction form
    1,087.73/2,348.72 = 2,348.72/x
  3. Step 3: Cross multiply
    1,087.73x = 2,348.72 × 2,348.72
  4. Step 4: Simplify right side
    1,087.73x = 5,516,479.77
  5. Step 5: Solve for x
    x = 5,516,479.77/1,087.73
  6. Step 6: Final answer
    x = 5,071.53

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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.