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Finding the Third Proportional to 6,689.25 and 10,023.75

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Solution

The third proportional to 6,689.25 and 10,023.75 is: 15,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.25 : 10,023.75 = 10,023.75 : x
  2. Step 2: Convert to fraction form
    6,689.25/10,023.75 = 10,023.75/x
  3. Step 3: Cross multiply
    6,689.25x = 10,023.75 × 10,023.75
  4. Step 4: Simplify right side
    6,689.25x = 100,475,564.06
  5. Step 5: Solve for x
    x = 100,475,564.06/6,689.25
  6. Step 6: Final answer
    x = 15,020.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.