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Finding the Third Proportional to 6,401.25 and 9,731.25

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Solution

The third proportional to 6,401.25 and 9,731.25 is: 14,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.25 : 9,731.25 = 9,731.25 : x
  2. Step 2: Convert to fraction form
    6,401.25/9,731.25 = 9,731.25/x
  3. Step 3: Cross multiply
    6,401.25x = 9,731.25 × 9,731.25
  4. Step 4: Simplify right side
    6,401.25x = 94,697,226.56
  5. Step 5: Solve for x
    x = 94,697,226.56/6,401.25
  6. Step 6: Final answer
    x = 14,793.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.