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Finding the Third Proportional to 38,961.50 and 55,523

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Solution

The third proportional to 38,961.50 and 55,523 is: 79,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,961.50 : 55,523 = 55,523 : x
  2. Step 2: Convert to fraction form
    38,961.50/55,523 = 55,523/x
  3. Step 3: Cross multiply
    38,961.50x = 55,523 × 55,523
  4. Step 4: Simplify right side
    38,961.50x = 3,082,803,529
  5. Step 5: Solve for x
    x = 3,082,803,529/38,961.50
  6. Step 6: Final answer
    x = 79,124.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.