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Finding the Third Proportional to 10,519.25 and 22,678.75

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Solution

The third proportional to 10,519.25 and 22,678.75 is: 48,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.25 : 22,678.75 = 22,678.75 : x
  2. Step 2: Convert to fraction form
    10,519.25/22,678.75 = 22,678.75/x
  3. Step 3: Cross multiply
    10,519.25x = 22,678.75 × 22,678.75
  4. Step 4: Simplify right side
    10,519.25x = 514,325,701.56
  5. Step 5: Solve for x
    x = 514,325,701.56/10,519.25
  6. Step 6: Final answer
    x = 48,893.76

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Why These Related Problems?

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