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Finding the Third Proportional to 21,518 and 32,267

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Solution

The third proportional to 21,518 and 32,267 is: 48,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,518 : 32,267 = 32,267 : x
  2. Step 2: Convert to fraction form
    21,518/32,267 = 32,267/x
  3. Step 3: Cross multiply
    21,518x = 32,267 × 32,267
  4. Step 4: Simplify right side
    21,518x = 1,041,159,289
  5. Step 5: Solve for x
    x = 1,041,159,289/21,518
  6. Step 6: Final answer
    x = 48,385.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.