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Finding the Third Proportional to 14,346.56 and 31,234.22

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Solution

The third proportional to 14,346.56 and 31,234.22 is: 68,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346.56 : 31,234.22 = 31,234.22 : x
  2. Step 2: Convert to fraction form
    14,346.56/31,234.22 = 31,234.22/x
  3. Step 3: Cross multiply
    14,346.56x = 31,234.22 × 31,234.22
  4. Step 4: Simplify right side
    14,346.56x = 975,576,420.92
  5. Step 5: Solve for x
    x = 975,576,420.92/14,346.56
  6. Step 6: Final answer
    x = 68,000.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.