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Finding the Third Proportional to 10,284.75 and 22,026.38

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Solution

The third proportional to 10,284.75 and 22,026.38 is: 47,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.75 : 22,026.38 = 22,026.38 : x
  2. Step 2: Convert to fraction form
    10,284.75/22,026.38 = 22,026.38/x
  3. Step 3: Cross multiply
    10,284.75x = 22,026.38 × 22,026.38
  4. Step 4: Simplify right side
    10,284.75x = 485,161,195.64
  5. Step 5: Solve for x
    x = 485,161,195.64/10,284.75
  6. Step 6: Final answer
    x = 47,172.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.