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Finding the Third Proportional to 10,260.84 and 22,161.94

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Solution

The third proportional to 10,260.84 and 22,161.94 is: 47,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.84 : 22,161.94 = 22,161.94 : x
  2. Step 2: Convert to fraction form
    10,260.84/22,161.94 = 22,161.94/x
  3. Step 3: Cross multiply
    10,260.84x = 22,161.94 × 22,161.94
  4. Step 4: Simplify right side
    10,260.84x = 491,151,473.75
  5. Step 5: Solve for x
    x = 491,151,473.75/10,260.84
  6. Step 6: Final answer
    x = 47,866.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.