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Finding the Third Proportional to 10,023.75 and 14,124.38

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Solution

The third proportional to 10,023.75 and 14,124.38 is: 19,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 14,124.38 = 14,124.38 : x
  2. Step 2: Convert to fraction form
    10,023.75/14,124.38 = 14,124.38/x
  3. Step 3: Cross multiply
    10,023.75x = 14,124.38 × 14,124.38
  4. Step 4: Simplify right side
    10,023.75x = 199,497,969.14
  5. Step 5: Solve for x
    x = 199,497,969.14/10,023.75
  6. Step 6: Final answer
    x = 19,902.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.