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Finding the Third Proportional to 10,145.81 and 22,237.44

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Solution

The third proportional to 10,145.81 and 22,237.44 is: 48,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.81 : 22,237.44 = 22,237.44 : x
  2. Step 2: Convert to fraction form
    10,145.81/22,237.44 = 22,237.44/x
  3. Step 3: Cross multiply
    10,145.81x = 22,237.44 × 22,237.44
  4. Step 4: Simplify right side
    10,145.81x = 494,503,626.57
  5. Step 5: Solve for x
    x = 494,503,626.57/10,145.81
  6. Step 6: Final answer
    x = 48,739.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.