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Finding the Third Proportional to 19,102.88 and 39,948.38

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Solution

The third proportional to 19,102.88 and 39,948.38 is: 83,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102.88 : 39,948.38 = 39,948.38 : x
  2. Step 2: Convert to fraction form
    19,102.88/39,948.38 = 39,948.38/x
  3. Step 3: Cross multiply
    19,102.88x = 39,948.38 × 39,948.38
  4. Step 4: Simplify right side
    19,102.88x = 1,595,872,665.14
  5. Step 5: Solve for x
    x = 1,595,872,665.14/19,102.88
  6. Step 6: Final answer
    x = 83,540.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.