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Finding the Third Proportional to 24,221 and 36,453

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Solution

The third proportional to 24,221 and 36,453 is: 54,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221 : 36,453 = 36,453 : x
  2. Step 2: Convert to fraction form
    24,221/36,453 = 36,453/x
  3. Step 3: Cross multiply
    24,221x = 36,453 × 36,453
  4. Step 4: Simplify right side
    24,221x = 1,328,821,209
  5. Step 5: Solve for x
    x = 1,328,821,209/24,221
  6. Step 6: Final answer
    x = 54,862.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.