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Finding the Third Proportional to 10,727.06 and 22,434.38

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Solution

The third proportional to 10,727.06 and 22,434.38 is: 46,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.06 : 22,434.38 = 22,434.38 : x
  2. Step 2: Convert to fraction form
    10,727.06/22,434.38 = 22,434.38/x
  3. Step 3: Cross multiply
    10,727.06x = 22,434.38 × 22,434.38
  4. Step 4: Simplify right side
    10,727.06x = 503,301,181.64
  5. Step 5: Solve for x
    x = 503,301,181.64/10,727.06
  6. Step 6: Final answer
    x = 46,918.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.