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Finding the Third Proportional to 23,600 and 34,860

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Solution

The third proportional to 23,600 and 34,860 is: 51,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,600 : 34,860 = 34,860 : x
  2. Step 2: Convert to fraction form
    23,600/34,860 = 34,860/x
  3. Step 3: Cross multiply
    23,600x = 34,860 × 34,860
  4. Step 4: Simplify right side
    23,600x = 1,215,219,600
  5. Step 5: Solve for x
    x = 1,215,219,600/23,600
  6. Step 6: Final answer
    x = 51,492.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.