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Finding the Third Proportional to 23,598 and 55,674

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Solution

The third proportional to 23,598 and 55,674 is: 131,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 55,674 = 55,674 : x
  2. Step 2: Convert to fraction form
    23,598/55,674 = 55,674/x
  3. Step 3: Cross multiply
    23,598x = 55,674 × 55,674
  4. Step 4: Simplify right side
    23,598x = 3,099,594,276
  5. Step 5: Solve for x
    x = 3,099,594,276/23,598
  6. Step 6: Final answer
    x = 131,349.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.