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Finding the Third Proportional to 19,143 and 28,734.75

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Solution

The third proportional to 19,143 and 28,734.75 is: 43,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,143 : 28,734.75 = 28,734.75 : x
  2. Step 2: Convert to fraction form
    19,143/28,734.75 = 28,734.75/x
  3. Step 3: Cross multiply
    19,143x = 28,734.75 × 28,734.75
  4. Step 4: Simplify right side
    19,143x = 825,685,857.56
  5. Step 5: Solve for x
    x = 825,685,857.56/19,143
  6. Step 6: Final answer
    x = 43,132.52

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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.