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Finding the Third Proportional to 24,165 and 36,968

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Solution

The third proportional to 24,165 and 36,968 is: 56,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165 : 36,968 = 36,968 : x
  2. Step 2: Convert to fraction form
    24,165/36,968 = 36,968/x
  3. Step 3: Cross multiply
    24,165x = 36,968 × 36,968
  4. Step 4: Simplify right side
    24,165x = 1,366,633,024
  5. Step 5: Solve for x
    x = 1,366,633,024/24,165
  6. Step 6: Final answer
    x = 56,554.23

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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.