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Finding the Third Proportional to 24,094 and 36,605

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Solution

The third proportional to 24,094 and 36,605 is: 55,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094 : 36,605 = 36,605 : x
  2. Step 2: Convert to fraction form
    24,094/36,605 = 36,605/x
  3. Step 3: Cross multiply
    24,094x = 36,605 × 36,605
  4. Step 4: Simplify right side
    24,094x = 1,339,926,025
  5. Step 5: Solve for x
    x = 1,339,926,025/24,094
  6. Step 6: Final answer
    x = 55,612.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.