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Finding the Third Proportional to 23,134.50 and 31,350.50

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Solution

The third proportional to 23,134.50 and 31,350.50 is: 42,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.50 : 31,350.50 = 31,350.50 : x
  2. Step 2: Convert to fraction form
    23,134.50/31,350.50 = 31,350.50/x
  3. Step 3: Cross multiply
    23,134.50x = 31,350.50 × 31,350.50
  4. Step 4: Simplify right side
    23,134.50x = 982,853,850.25
  5. Step 5: Solve for x
    x = 982,853,850.25/23,134.50
  6. Step 6: Final answer
    x = 42,484.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.