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Finding the Third Proportional to 22,270 and 51,787

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Solution

The third proportional to 22,270 and 51,787 is: 120,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270 : 51,787 = 51,787 : x
  2. Step 2: Convert to fraction form
    22,270/51,787 = 51,787/x
  3. Step 3: Cross multiply
    22,270x = 51,787 × 51,787
  4. Step 4: Simplify right side
    22,270x = 2,681,893,369
  5. Step 5: Solve for x
    x = 2,681,893,369/22,270
  6. Step 6: Final answer
    x = 120,426.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.