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Finding the Third Proportional to 22,816 and 33,486

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Solution

The third proportional to 22,816 and 33,486 is: 49,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816 : 33,486 = 33,486 : x
  2. Step 2: Convert to fraction form
    22,816/33,486 = 33,486/x
  3. Step 3: Cross multiply
    22,816x = 33,486 × 33,486
  4. Step 4: Simplify right side
    22,816x = 1,121,312,196
  5. Step 5: Solve for x
    x = 1,121,312,196/22,816
  6. Step 6: Final answer
    x = 49,145.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.