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Finding the Third Proportional to 24,107.63 and 36,019.13

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Solution

The third proportional to 24,107.63 and 36,019.13 is: 53,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.63 : 36,019.13 = 36,019.13 : x
  2. Step 2: Convert to fraction form
    24,107.63/36,019.13 = 36,019.13/x
  3. Step 3: Cross multiply
    24,107.63x = 36,019.13 × 36,019.13
  4. Step 4: Simplify right side
    24,107.63x = 1,297,377,365.77
  5. Step 5: Solve for x
    x = 1,297,377,365.77/24,107.63
  6. Step 6: Final answer
    x = 53,816.06

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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.