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Finding the Third Proportional to 10,518.19 and 22,874.06

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Solution

The third proportional to 10,518.19 and 22,874.06 is: 49,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.19 : 22,874.06 = 22,874.06 : x
  2. Step 2: Convert to fraction form
    10,518.19/22,874.06 = 22,874.06/x
  3. Step 3: Cross multiply
    10,518.19x = 22,874.06 × 22,874.06
  4. Step 4: Simplify right side
    10,518.19x = 523,222,735.25
  5. Step 5: Solve for x
    x = 523,222,735.25/10,518.19
  6. Step 6: Final answer
    x = 49,744.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.