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Finding the Third Proportional to 24,036 and 51,770

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Solution

The third proportional to 24,036 and 51,770 is: 111,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036 : 51,770 = 51,770 : x
  2. Step 2: Convert to fraction form
    24,036/51,770 = 51,770/x
  3. Step 3: Cross multiply
    24,036x = 51,770 × 51,770
  4. Step 4: Simplify right side
    24,036x = 2,680,132,900
  5. Step 5: Solve for x
    x = 2,680,132,900/24,036
  6. Step 6: Final answer
    x = 111,504.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.