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Finding the Third Proportional to 29,871 and 39,793.50

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Solution

The third proportional to 29,871 and 39,793.50 is: 53,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871 : 39,793.50 = 39,793.50 : x
  2. Step 2: Convert to fraction form
    29,871/39,793.50 = 39,793.50/x
  3. Step 3: Cross multiply
    29,871x = 39,793.50 × 39,793.50
  4. Step 4: Simplify right side
    29,871x = 1,583,522,642.25
  5. Step 5: Solve for x
    x = 1,583,522,642.25/29,871
  6. Step 6: Final answer
    x = 53,012.04

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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.