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Finding the Third Proportional to 19,693.13 and 28,648.69

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Solution

The third proportional to 19,693.13 and 28,648.69 is: 41,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.13 : 28,648.69 = 28,648.69 : x
  2. Step 2: Convert to fraction form
    19,693.13/28,648.69 = 28,648.69/x
  3. Step 3: Cross multiply
    19,693.13x = 28,648.69 × 28,648.69
  4. Step 4: Simplify right side
    19,693.13x = 820,747,295.47
  5. Step 5: Solve for x
    x = 820,747,295.47/19,693.13
  6. Step 6: Final answer
    x = 41,676.84

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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.