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Finding the Third Proportional to 19,791 and 28,748.25

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Solution

The third proportional to 19,791 and 28,748.25 is: 41,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,791 : 28,748.25 = 28,748.25 : x
  2. Step 2: Convert to fraction form
    19,791/28,748.25 = 28,748.25/x
  3. Step 3: Cross multiply
    19,791x = 28,748.25 × 28,748.25
  4. Step 4: Simplify right side
    19,791x = 826,461,878.06
  5. Step 5: Solve for x
    x = 826,461,878.06/19,791
  6. Step 6: Final answer
    x = 41,759.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.