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Finding the Third Proportional to 10,046.25 and 14,352.75

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Solution

The third proportional to 10,046.25 and 14,352.75 is: 20,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.25 : 14,352.75 = 14,352.75 : x
  2. Step 2: Convert to fraction form
    10,046.25/14,352.75 = 14,352.75/x
  3. Step 3: Cross multiply
    10,046.25x = 14,352.75 × 14,352.75
  4. Step 4: Simplify right side
    10,046.25x = 206,001,432.56
  5. Step 5: Solve for x
    x = 206,001,432.56/10,046.25
  6. Step 6: Final answer
    x = 20,505.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.