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Finding the Third Proportional to 24,614.63 and 36,914.25

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Solution

The third proportional to 24,614.63 and 36,914.25 is: 55,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614.63 : 36,914.25 = 36,914.25 : x
  2. Step 2: Convert to fraction form
    24,614.63/36,914.25 = 36,914.25/x
  3. Step 3: Cross multiply
    24,614.63x = 36,914.25 × 36,914.25
  4. Step 4: Simplify right side
    24,614.63x = 1,362,661,853.06
  5. Step 5: Solve for x
    x = 1,362,661,853.06/24,614.63
  6. Step 6: Final answer
    x = 55,359.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.