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Finding the Third Proportional to 2,088.76 and 3,247.75

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Solution

The third proportional to 2,088.76 and 3,247.75 is: 5,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.76 : 3,247.75 = 3,247.75 : x
  2. Step 2: Convert to fraction form
    2,088.76/3,247.75 = 3,247.75/x
  3. Step 3: Cross multiply
    2,088.76x = 3,247.75 × 3,247.75
  4. Step 4: Simplify right side
    2,088.76x = 10,547,892.75
  5. Step 5: Solve for x
    x = 10,547,892.75/2,088.76
  6. Step 6: Final answer
    x = 5,049.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.