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Finding the Third Proportional to 19,903 and 28,295.50

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Solution

The third proportional to 19,903 and 28,295.50 is: 40,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,903 : 28,295.50 = 28,295.50 : x
  2. Step 2: Convert to fraction form
    19,903/28,295.50 = 28,295.50/x
  3. Step 3: Cross multiply
    19,903x = 28,295.50 × 28,295.50
  4. Step 4: Simplify right side
    19,903x = 800,635,320.25
  5. Step 5: Solve for x
    x = 800,635,320.25/19,903
  6. Step 6: Final answer
    x = 40,226.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.