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Finding the Third Proportional to 22,743 and 53,105.63

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Solution

The third proportional to 22,743 and 53,105.63 is: 124,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743 : 53,105.63 = 53,105.63 : x
  2. Step 2: Convert to fraction form
    22,743/53,105.63 = 53,105.63/x
  3. Step 3: Cross multiply
    22,743x = 53,105.63 × 53,105.63
  4. Step 4: Simplify right side
    22,743x = 2,820,207,406.64
  5. Step 5: Solve for x
    x = 2,820,207,406.64/22,743
  6. Step 6: Final answer
    x = 124,003.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.