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Finding the Third Proportional to 10,605.66 and 22,072.92

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Solution

The third proportional to 10,605.66 and 22,072.92 is: 45,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.66 : 22,072.92 = 22,072.92 : x
  2. Step 2: Convert to fraction form
    10,605.66/22,072.92 = 22,072.92/x
  3. Step 3: Cross multiply
    10,605.66x = 22,072.92 × 22,072.92
  4. Step 4: Simplify right side
    10,605.66x = 487,213,880.10
  5. Step 5: Solve for x
    x = 487,213,880.10/10,605.66
  6. Step 6: Final answer
    x = 45,939.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.