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Finding the Third Proportional to 4,849.88 and 10,155.38

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Solution

The third proportional to 4,849.88 and 10,155.38 is: 21,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.88 : 10,155.38 = 10,155.38 : x
  2. Step 2: Convert to fraction form
    4,849.88/10,155.38 = 10,155.38/x
  3. Step 3: Cross multiply
    4,849.88x = 10,155.38 × 10,155.38
  4. Step 4: Simplify right side
    4,849.88x = 103,131,641.39
  5. Step 5: Solve for x
    x = 103,131,641.39/4,849.88
  6. Step 6: Final answer
    x = 21,264.80

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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.