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Finding the Third Proportional to 20,493 and 29,947.50

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Solution

The third proportional to 20,493 and 29,947.50 is: 43,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493 : 29,947.50 = 29,947.50 : x
  2. Step 2: Convert to fraction form
    20,493/29,947.50 = 29,947.50/x
  3. Step 3: Cross multiply
    20,493x = 29,947.50 × 29,947.50
  4. Step 4: Simplify right side
    20,493x = 896,852,756.25
  5. Step 5: Solve for x
    x = 896,852,756.25/20,493
  6. Step 6: Final answer
    x = 43,763.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.