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Finding the Third Proportional to 14,229.42 and 31,181.20

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Solution

The third proportional to 14,229.42 and 31,181.20 is: 68,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.42 : 31,181.20 = 31,181.20 : x
  2. Step 2: Convert to fraction form
    14,229.42/31,181.20 = 31,181.20/x
  3. Step 3: Cross multiply
    14,229.42x = 31,181.20 × 31,181.20
  4. Step 4: Simplify right side
    14,229.42x = 972,267,428.32
  5. Step 5: Solve for x
    x = 972,267,428.32/14,229.42
  6. Step 6: Final answer
    x = 68,327.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.