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Finding the Third Proportional to 1,088 and 2,391.50

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Solution

The third proportional to 1,088 and 2,391.50 is: 5,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088 : 2,391.50 = 2,391.50 : x
  2. Step 2: Convert to fraction form
    1,088/2,391.50 = 2,391.50/x
  3. Step 3: Cross multiply
    1,088x = 2,391.50 × 2,391.50
  4. Step 4: Simplify right side
    1,088x = 5,719,272.25
  5. Step 5: Solve for x
    x = 5,719,272.25/1,088
  6. Step 6: Final answer
    x = 5,256.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.