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Finding the Third Proportional to 6,311.32 and 9,772.10

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Solution

The third proportional to 6,311.32 and 9,772.10 is: 15,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.32 : 9,772.10 = 9,772.10 : x
  2. Step 2: Convert to fraction form
    6,311.32/9,772.10 = 9,772.10/x
  3. Step 3: Cross multiply
    6,311.32x = 9,772.10 × 9,772.10
  4. Step 4: Simplify right side
    6,311.32x = 95,493,968.95
  5. Step 5: Solve for x
    x = 95,493,968.95/6,311.32
  6. Step 6: Final answer
    x = 15,130.59

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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.