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Finding the Third Proportional to 36,337.50 and 78,408

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Solution

The third proportional to 36,337.50 and 78,408 is: 169,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,337.50 : 78,408 = 78,408 : x
  2. Step 2: Convert to fraction form
    36,337.50/78,408 = 78,408/x
  3. Step 3: Cross multiply
    36,337.50x = 78,408 × 78,408
  4. Step 4: Simplify right side
    36,337.50x = 6,147,814,464
  5. Step 5: Solve for x
    x = 6,147,814,464/36,337.50
  6. Step 6: Final answer
    x = 169,186.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.