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Finding the Third Proportional to 21,816 and 32,778

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Solution

The third proportional to 21,816 and 32,778 is: 49,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816 : 32,778 = 32,778 : x
  2. Step 2: Convert to fraction form
    21,816/32,778 = 32,778/x
  3. Step 3: Cross multiply
    21,816x = 32,778 × 32,778
  4. Step 4: Simplify right side
    21,816x = 1,074,397,284
  5. Step 5: Solve for x
    x = 1,074,397,284/21,816
  6. Step 6: Final answer
    x = 49,248.13

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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.