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Finding the Third Proportional to 23,625 and 48,342

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Solution

The third proportional to 23,625 and 48,342 is: 98,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625 : 48,342 = 48,342 : x
  2. Step 2: Convert to fraction form
    23,625/48,342 = 48,342/x
  3. Step 3: Cross multiply
    23,625x = 48,342 × 48,342
  4. Step 4: Simplify right side
    23,625x = 2,336,948,964
  5. Step 5: Solve for x
    x = 2,336,948,964/23,625
  6. Step 6: Final answer
    x = 98,918.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.