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Finding the Third Proportional to 22,434 and 34,731

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Solution

The third proportional to 22,434 and 34,731 is: 53,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434 : 34,731 = 34,731 : x
  2. Step 2: Convert to fraction form
    22,434/34,731 = 34,731/x
  3. Step 3: Cross multiply
    22,434x = 34,731 × 34,731
  4. Step 4: Simplify right side
    22,434x = 1,206,242,361
  5. Step 5: Solve for x
    x = 1,206,242,361/22,434
  6. Step 6: Final answer
    x = 53,768.49

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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.