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Finding the Third Proportional to 19,148.50 and 28,743

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Solution

The third proportional to 19,148.50 and 28,743 is: 43,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,148.50 : 28,743 = 28,743 : x
  2. Step 2: Convert to fraction form
    19,148.50/28,743 = 28,743/x
  3. Step 3: Cross multiply
    19,148.50x = 28,743 × 28,743
  4. Step 4: Simplify right side
    19,148.50x = 826,160,049
  5. Step 5: Solve for x
    x = 826,160,049/19,148.50
  6. Step 6: Final answer
    x = 43,144.90

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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.