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Finding the Third Proportional to 8,849.25 and 19,308.38

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Solution

The third proportional to 8,849.25 and 19,308.38 is: 42,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.25 : 19,308.38 = 19,308.38 : x
  2. Step 2: Convert to fraction form
    8,849.25/19,308.38 = 19,308.38/x
  3. Step 3: Cross multiply
    8,849.25x = 19,308.38 × 19,308.38
  4. Step 4: Simplify right side
    8,849.25x = 372,813,345.14
  5. Step 5: Solve for x
    x = 372,813,345.14/8,849.25
  6. Step 6: Final answer
    x = 42,129.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.