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Finding the Third Proportional to 20,061 and 29,965.50

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Solution

The third proportional to 20,061 and 29,965.50 is: 44,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,061 : 29,965.50 = 29,965.50 : x
  2. Step 2: Convert to fraction form
    20,061/29,965.50 = 29,965.50/x
  3. Step 3: Cross multiply
    20,061x = 29,965.50 × 29,965.50
  4. Step 4: Simplify right side
    20,061x = 897,931,190.25
  5. Step 5: Solve for x
    x = 897,931,190.25/20,061
  6. Step 6: Final answer
    x = 44,760.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.