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Finding the Third Proportional to 24,860 and 53,266

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Solution

The third proportional to 24,860 and 53,266 is: 114,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,860 : 53,266 = 53,266 : x
  2. Step 2: Convert to fraction form
    24,860/53,266 = 53,266/x
  3. Step 3: Cross multiply
    24,860x = 53,266 × 53,266
  4. Step 4: Simplify right side
    24,860x = 2,837,266,756
  5. Step 5: Solve for x
    x = 2,837,266,756/24,860
  6. Step 6: Final answer
    x = 114,129.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.