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Finding the Third Proportional to 20,439 and 42,734.25

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Solution

The third proportional to 20,439 and 42,734.25 is: 89,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439 : 42,734.25 = 42,734.25 : x
  2. Step 2: Convert to fraction form
    20,439/42,734.25 = 42,734.25/x
  3. Step 3: Cross multiply
    20,439x = 42,734.25 × 42,734.25
  4. Step 4: Simplify right side
    20,439x = 1,826,216,123.06
  5. Step 5: Solve for x
    x = 1,826,216,123.06/20,439
  6. Step 6: Final answer
    x = 89,349.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.