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Finding the Third Proportional to 5,297.59 and 8,207.58

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Solution

The third proportional to 5,297.59 and 8,207.58 is: 12,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.59 : 8,207.58 = 8,207.58 : x
  2. Step 2: Convert to fraction form
    5,297.59/8,207.58 = 8,207.58/x
  3. Step 3: Cross multiply
    5,297.59x = 8,207.58 × 8,207.58
  4. Step 4: Simplify right side
    5,297.59x = 67,364,338.68
  5. Step 5: Solve for x
    x = 67,364,338.68/5,297.59
  6. Step 6: Final answer
    x = 12,716.04

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Why These Related Problems?

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