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Finding the Third Proportional to 24,234 and 52,969

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Solution

The third proportional to 24,234 and 52,969 is: 115,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234 : 52,969 = 52,969 : x
  2. Step 2: Convert to fraction form
    24,234/52,969 = 52,969/x
  3. Step 3: Cross multiply
    24,234x = 52,969 × 52,969
  4. Step 4: Simplify right side
    24,234x = 2,805,714,961
  5. Step 5: Solve for x
    x = 2,805,714,961/24,234
  6. Step 6: Final answer
    x = 115,775.97

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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.