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Finding the Third Proportional to 24,102.56 and 36,011.46

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Solution

The third proportional to 24,102.56 and 36,011.46 is: 53,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.56 : 36,011.46 = 36,011.46 : x
  2. Step 2: Convert to fraction form
    24,102.56/36,011.46 = 36,011.46/x
  3. Step 3: Cross multiply
    24,102.56x = 36,011.46 × 36,011.46
  4. Step 4: Simplify right side
    24,102.56x = 1,296,825,318.85
  5. Step 5: Solve for x
    x = 1,296,825,318.85/24,102.56
  6. Step 6: Final answer
    x = 53,804.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.