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Finding the Third Proportional to 40,222 and 52,893

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Solution

The third proportional to 40,222 and 52,893 is: 69,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,222 : 52,893 = 52,893 : x
  2. Step 2: Convert to fraction form
    40,222/52,893 = 52,893/x
  3. Step 3: Cross multiply
    40,222x = 52,893 × 52,893
  4. Step 4: Simplify right side
    40,222x = 2,797,669,449
  5. Step 5: Solve for x
    x = 2,797,669,449/40,222
  6. Step 6: Final answer
    x = 69,555.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.