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Finding the Third Proportional to 2,088.84 and 2,761.17

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Solution

The third proportional to 2,088.84 and 2,761.17 is: 3,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.84 : 2,761.17 = 2,761.17 : x
  2. Step 2: Convert to fraction form
    2,088.84/2,761.17 = 2,761.17/x
  3. Step 3: Cross multiply
    2,088.84x = 2,761.17 × 2,761.17
  4. Step 4: Simplify right side
    2,088.84x = 7,624,070.12
  5. Step 5: Solve for x
    x = 7,624,070.12/2,088.84
  6. Step 6: Final answer
    x = 3,649.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.