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Finding the Third Proportional to 24,110 and 58,079

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Solution

The third proportional to 24,110 and 58,079 is: 139,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,110 : 58,079 = 58,079 : x
  2. Step 2: Convert to fraction form
    24,110/58,079 = 58,079/x
  3. Step 3: Cross multiply
    24,110x = 58,079 × 58,079
  4. Step 4: Simplify right side
    24,110x = 3,373,170,241
  5. Step 5: Solve for x
    x = 3,373,170,241/24,110
  6. Step 6: Final answer
    x = 139,907.52

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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.