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Finding the Third Proportional to 11,557.69 and 19,948.78

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Solution

The third proportional to 11,557.69 and 19,948.78 is: 34,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 19,948.78 = 19,948.78 : x
  2. Step 2: Convert to fraction form
    11,557.69/19,948.78 = 19,948.78/x
  3. Step 3: Cross multiply
    11,557.69x = 19,948.78 × 19,948.78
  4. Step 4: Simplify right side
    11,557.69x = 397,953,873.36
  5. Step 5: Solve for x
    x = 397,953,873.36/11,557.69
  6. Step 6: Final answer
    x = 34,431.96

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.