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Finding the Third Proportional to 65,353.50 and 76,011.75

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Solution

The third proportional to 65,353.50 and 76,011.75 is: 88,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,353.50 : 76,011.75 = 76,011.75 : x
  2. Step 2: Convert to fraction form
    65,353.50/76,011.75 = 76,011.75/x
  3. Step 3: Cross multiply
    65,353.50x = 76,011.75 × 76,011.75
  4. Step 4: Simplify right side
    65,353.50x = 5,777,786,138.06
  5. Step 5: Solve for x
    x = 5,777,786,138.06/65,353.50
  6. Step 6: Final answer
    x = 88,408.21

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.