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Finding the Third Proportional to 6,575.34 and 10,197.56

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Solution

The third proportional to 6,575.34 and 10,197.56 is: 15,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.34 : 10,197.56 = 10,197.56 : x
  2. Step 2: Convert to fraction form
    6,575.34/10,197.56 = 10,197.56/x
  3. Step 3: Cross multiply
    6,575.34x = 10,197.56 × 10,197.56
  4. Step 4: Simplify right side
    6,575.34x = 103,990,280.94
  5. Step 5: Solve for x
    x = 103,990,280.94/6,575.34
  6. Step 6: Final answer
    x = 15,815.19

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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.