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Finding the Third Proportional to 62,408 and 80,964

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Solution

The third proportional to 62,408 and 80,964 is: 105,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,408 : 80,964 = 80,964 : x
  2. Step 2: Convert to fraction form
    62,408/80,964 = 80,964/x
  3. Step 3: Cross multiply
    62,408x = 80,964 × 80,964
  4. Step 4: Simplify right side
    62,408x = 6,555,169,296
  5. Step 5: Solve for x
    x = 6,555,169,296/62,408
  6. Step 6: Final answer
    x = 105,037.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.