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Finding the Third Proportional to 10,233.84 and 22,476.23

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Solution

The third proportional to 10,233.84 and 22,476.23 is: 49,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.84 : 22,476.23 = 22,476.23 : x
  2. Step 2: Convert to fraction form
    10,233.84/22,476.23 = 22,476.23/x
  3. Step 3: Cross multiply
    10,233.84x = 22,476.23 × 22,476.23
  4. Step 4: Simplify right side
    10,233.84x = 505,181,111.68
  5. Step 5: Solve for x
    x = 505,181,111.68/10,233.84
  6. Step 6: Final answer
    x = 49,363.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.