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Finding the Third Proportional to 13,395.50 and 32,408

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Solution

The third proportional to 13,395.50 and 32,408 is: 78,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,395.50 : 32,408 = 32,408 : x
  2. Step 2: Convert to fraction form
    13,395.50/32,408 = 32,408/x
  3. Step 3: Cross multiply
    13,395.50x = 32,408 × 32,408
  4. Step 4: Simplify right side
    13,395.50x = 1,050,278,464
  5. Step 5: Solve for x
    x = 1,050,278,464/13,395.50
  6. Step 6: Final answer
    x = 78,405.32

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.