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Finding the Third Proportional to 5,143.50 and 10,023.75

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Solution

The third proportional to 5,143.50 and 10,023.75 is: 19,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.50 : 10,023.75 = 10,023.75 : x
  2. Step 2: Convert to fraction form
    5,143.50/10,023.75 = 10,023.75/x
  3. Step 3: Cross multiply
    5,143.50x = 10,023.75 × 10,023.75
  4. Step 4: Simplify right side
    5,143.50x = 100,475,564.06
  5. Step 5: Solve for x
    x = 100,475,564.06/5,143.50
  6. Step 6: Final answer
    x = 19,534.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.