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Finding the Third Proportional to 10,135.13 and 22,138.31

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Solution

The third proportional to 10,135.13 and 22,138.31 is: 48,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.13 : 22,138.31 = 22,138.31 : x
  2. Step 2: Convert to fraction form
    10,135.13/22,138.31 = 22,138.31/x
  3. Step 3: Cross multiply
    10,135.13x = 22,138.31 × 22,138.31
  4. Step 4: Simplify right side
    10,135.13x = 490,104,880.35
  5. Step 5: Solve for x
    x = 490,104,880.35/10,135.13
  6. Step 6: Final answer
    x = 48,357.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.