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Finding the Third Proportional to 1,188.84 and 2,708.86

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Solution

The third proportional to 1,188.84 and 2,708.86 is: 6,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.84 : 2,708.86 = 2,708.86 : x
  2. Step 2: Convert to fraction form
    1,188.84/2,708.86 = 2,708.86/x
  3. Step 3: Cross multiply
    1,188.84x = 2,708.86 × 2,708.86
  4. Step 4: Simplify right side
    1,188.84x = 7,337,919.11
  5. Step 5: Solve for x
    x = 7,337,919.11/1,188.84
  6. Step 6: Final answer
    x = 6,172.32

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.