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Finding the Third Proportional to 22,178 and 29,523

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Solution

The third proportional to 22,178 and 29,523 is: 39,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178 : 29,523 = 29,523 : x
  2. Step 2: Convert to fraction form
    22,178/29,523 = 29,523/x
  3. Step 3: Cross multiply
    22,178x = 29,523 × 29,523
  4. Step 4: Simplify right side
    22,178x = 871,607,529
  5. Step 5: Solve for x
    x = 871,607,529/22,178
  6. Step 6: Final answer
    x = 39,300.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.