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Finding the Third Proportional to 19,595 and 29,436.75

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Solution

The third proportional to 19,595 and 29,436.75 is: 44,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,595 : 29,436.75 = 29,436.75 : x
  2. Step 2: Convert to fraction form
    19,595/29,436.75 = 29,436.75/x
  3. Step 3: Cross multiply
    19,595x = 29,436.75 × 29,436.75
  4. Step 4: Simplify right side
    19,595x = 866,522,250.56
  5. Step 5: Solve for x
    x = 866,522,250.56/19,595
  6. Step 6: Final answer
    x = 44,221.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.