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Finding the Third Proportional to 7,763.34 and 17,255.53

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Solution

The third proportional to 7,763.34 and 17,255.53 is: 38,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.34 : 17,255.53 = 17,255.53 : x
  2. Step 2: Convert to fraction form
    7,763.34/17,255.53 = 17,255.53/x
  3. Step 3: Cross multiply
    7,763.34x = 17,255.53 × 17,255.53
  4. Step 4: Simplify right side
    7,763.34x = 297,753,358.72
  5. Step 5: Solve for x
    x = 297,753,358.72/7,763.34
  6. Step 6: Final answer
    x = 38,353.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.