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Finding the Third Proportional to 3,922.17 and 6,312.30

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Solution

The third proportional to 3,922.17 and 6,312.30 is: 10,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.17 : 6,312.30 = 6,312.30 : x
  2. Step 2: Convert to fraction form
    3,922.17/6,312.30 = 6,312.30/x
  3. Step 3: Cross multiply
    3,922.17x = 6,312.30 × 6,312.30
  4. Step 4: Simplify right side
    3,922.17x = 39,845,190.47
  5. Step 5: Solve for x
    x = 39,845,190.47/3,922.17
  6. Step 6: Final answer
    x = 10,158.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.