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Finding the Third Proportional to 4,156.31 and 7,241.91

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Solution

The third proportional to 4,156.31 and 7,241.91 is: 12,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.31 : 7,241.91 = 7,241.91 : x
  2. Step 2: Convert to fraction form
    4,156.31/7,241.91 = 7,241.91/x
  3. Step 3: Cross multiply
    4,156.31x = 7,241.91 × 7,241.91
  4. Step 4: Simplify right side
    4,156.31x = 52,445,206.13
  5. Step 5: Solve for x
    x = 52,445,206.13/4,156.31
  6. Step 6: Final answer
    x = 12,618.21

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.