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Finding the Third Proportional to 24,063 and 57,969

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Solution

The third proportional to 24,063 and 57,969 is: 139,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063 : 57,969 = 57,969 : x
  2. Step 2: Convert to fraction form
    24,063/57,969 = 57,969/x
  3. Step 3: Cross multiply
    24,063x = 57,969 × 57,969
  4. Step 4: Simplify right side
    24,063x = 3,360,404,961
  5. Step 5: Solve for x
    x = 3,360,404,961/24,063
  6. Step 6: Final answer
    x = 139,650.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.