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Finding the Third Proportional to 24,267.09 and 49,710.38

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Solution

The third proportional to 24,267.09 and 49,710.38 is: 101,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.09 : 49,710.38 = 49,710.38 : x
  2. Step 2: Convert to fraction form
    24,267.09/49,710.38 = 49,710.38/x
  3. Step 3: Cross multiply
    24,267.09x = 49,710.38 × 49,710.38
  4. Step 4: Simplify right side
    24,267.09x = 2,471,121,382.64
  5. Step 5: Solve for x
    x = 2,471,121,382.64/24,267.09
  6. Step 6: Final answer
    x = 101,830.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.