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Finding the Third Proportional to 24,066 and 52,782

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Solution

The third proportional to 24,066 and 52,782 is: 115,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,066 : 52,782 = 52,782 : x
  2. Step 2: Convert to fraction form
    24,066/52,782 = 52,782/x
  3. Step 3: Cross multiply
    24,066x = 52,782 × 52,782
  4. Step 4: Simplify right side
    24,066x = 2,785,939,524
  5. Step 5: Solve for x
    x = 2,785,939,524/24,066
  6. Step 6: Final answer
    x = 115,762.47

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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.