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Finding the Third Proportional to 4,219.88 and 9,948.94

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Solution

The third proportional to 4,219.88 and 9,948.94 is: 23,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.88 : 9,948.94 = 9,948.94 : x
  2. Step 2: Convert to fraction form
    4,219.88/9,948.94 = 9,948.94/x
  3. Step 3: Cross multiply
    4,219.88x = 9,948.94 × 9,948.94
  4. Step 4: Simplify right side
    4,219.88x = 98,981,357.38
  5. Step 5: Solve for x
    x = 98,981,357.38/4,219.88
  6. Step 6: Final answer
    x = 23,455.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.