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Finding the Third Proportional to 10,853.16 and 22,008.38

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Solution

The third proportional to 10,853.16 and 22,008.38 is: 44,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.16 : 22,008.38 = 22,008.38 : x
  2. Step 2: Convert to fraction form
    10,853.16/22,008.38 = 22,008.38/x
  3. Step 3: Cross multiply
    10,853.16x = 22,008.38 × 22,008.38
  4. Step 4: Simplify right side
    10,853.16x = 484,368,570.14
  5. Step 5: Solve for x
    x = 484,368,570.14/10,853.16
  6. Step 6: Final answer
    x = 44,629.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.