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Finding the Third Proportional to 23,664 and 38,124

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Solution

The third proportional to 23,664 and 38,124 is: 61,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664 : 38,124 = 38,124 : x
  2. Step 2: Convert to fraction form
    23,664/38,124 = 38,124/x
  3. Step 3: Cross multiply
    23,664x = 38,124 × 38,124
  4. Step 4: Simplify right side
    23,664x = 1,453,439,376
  5. Step 5: Solve for x
    x = 1,453,439,376/23,664
  6. Step 6: Final answer
    x = 61,419.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.