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Finding the Third Proportional to 24,146.88 and 36,937.75

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Solution

The third proportional to 24,146.88 and 36,937.75 is: 56,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.88 : 36,937.75 = 36,937.75 : x
  2. Step 2: Convert to fraction form
    24,146.88/36,937.75 = 36,937.75/x
  3. Step 3: Cross multiply
    24,146.88x = 36,937.75 × 36,937.75
  4. Step 4: Simplify right side
    24,146.88x = 1,364,397,375.06
  5. Step 5: Solve for x
    x = 1,364,397,375.06/24,146.88
  6. Step 6: Final answer
    x = 56,504.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.