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Finding the Third Proportional to 18,278 and 24,769

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Solution

The third proportional to 18,278 and 24,769 is: 33,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278 : 24,769 = 24,769 : x
  2. Step 2: Convert to fraction form
    18,278/24,769 = 24,769/x
  3. Step 3: Cross multiply
    18,278x = 24,769 × 24,769
  4. Step 4: Simplify right side
    18,278x = 613,503,361
  5. Step 5: Solve for x
    x = 613,503,361/18,278
  6. Step 6: Final answer
    x = 33,565.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.