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Finding the Third Proportional to 3,497.87 and 7,559.58

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Solution

The third proportional to 3,497.87 and 7,559.58 is: 16,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.87 : 7,559.58 = 7,559.58 : x
  2. Step 2: Convert to fraction form
    3,497.87/7,559.58 = 7,559.58/x
  3. Step 3: Cross multiply
    3,497.87x = 7,559.58 × 7,559.58
  4. Step 4: Simplify right side
    3,497.87x = 57,147,221.43
  5. Step 5: Solve for x
    x = 57,147,221.43/3,497.87
  6. Step 6: Final answer
    x = 16,337.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.