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Finding the Third Proportional to 24,036 and 56,149

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Solution

The third proportional to 24,036 and 56,149 is: 131,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036 : 56,149 = 56,149 : x
  2. Step 2: Convert to fraction form
    24,036/56,149 = 56,149/x
  3. Step 3: Cross multiply
    24,036x = 56,149 × 56,149
  4. Step 4: Simplify right side
    24,036x = 3,152,710,201
  5. Step 5: Solve for x
    x = 3,152,710,201/24,036
  6. Step 6: Final answer
    x = 131,166.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.