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Finding the Third Proportional to 4,408 and 8,465

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Solution

The third proportional to 4,408 and 8,465 is: 16,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408 : 8,465 = 8,465 : x
  2. Step 2: Convert to fraction form
    4,408/8,465 = 8,465/x
  3. Step 3: Cross multiply
    4,408x = 8,465 × 8,465
  4. Step 4: Simplify right side
    4,408x = 71,656,225
  5. Step 5: Solve for x
    x = 71,656,225/4,408
  6. Step 6: Final answer
    x = 16,255.95

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.