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Finding the Third Proportional to 22,884 and 34,770

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Solution

The third proportional to 22,884 and 34,770 is: 52,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884 : 34,770 = 34,770 : x
  2. Step 2: Convert to fraction form
    22,884/34,770 = 34,770/x
  3. Step 3: Cross multiply
    22,884x = 34,770 × 34,770
  4. Step 4: Simplify right side
    22,884x = 1,208,952,900
  5. Step 5: Solve for x
    x = 1,208,952,900/22,884
  6. Step 6: Final answer
    x = 52,829.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.