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Finding the Third Proportional to 22,684 and 35,210

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Solution

The third proportional to 22,684 and 35,210 is: 54,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684 : 35,210 = 35,210 : x
  2. Step 2: Convert to fraction form
    22,684/35,210 = 35,210/x
  3. Step 3: Cross multiply
    22,684x = 35,210 × 35,210
  4. Step 4: Simplify right side
    22,684x = 1,239,744,100
  5. Step 5: Solve for x
    x = 1,239,744,100/22,684
  6. Step 6: Final answer
    x = 54,652.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.