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Finding the Third Proportional to 19,248 and 28,793.25

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Solution

The third proportional to 19,248 and 28,793.25 is: 43,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 28,793.25 = 28,793.25 : x
  2. Step 2: Convert to fraction form
    19,248/28,793.25 = 28,793.25/x
  3. Step 3: Cross multiply
    19,248x = 28,793.25 × 28,793.25
  4. Step 4: Simplify right side
    19,248x = 829,051,245.56
  5. Step 5: Solve for x
    x = 829,051,245.56/19,248
  6. Step 6: Final answer
    x = 43,072.07

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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.