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Finding the Third Proportional to 14,746 and 32,408

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Solution

The third proportional to 14,746 and 32,408 is: 71,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746 : 32,408 = 32,408 : x
  2. Step 2: Convert to fraction form
    14,746/32,408 = 32,408/x
  3. Step 3: Cross multiply
    14,746x = 32,408 × 32,408
  4. Step 4: Simplify right side
    14,746x = 1,050,278,464
  5. Step 5: Solve for x
    x = 1,050,278,464/14,746
  6. Step 6: Final answer
    x = 71,224.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.