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Finding the Third Proportional to 22,326.75 and 47,723.06

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Solution

The third proportional to 22,326.75 and 47,723.06 is: 102,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.75 : 47,723.06 = 47,723.06 : x
  2. Step 2: Convert to fraction form
    22,326.75/47,723.06 = 47,723.06/x
  3. Step 3: Cross multiply
    22,326.75x = 47,723.06 × 47,723.06
  4. Step 4: Simplify right side
    22,326.75x = 2,277,490,694.38
  5. Step 5: Solve for x
    x = 2,277,490,694.38/22,326.75
  6. Step 6: Final answer
    x = 102,007.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.