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Finding the Third Proportional to 20,334 and 29,376

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Solution

The third proportional to 20,334 and 29,376 is: 42,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,334 : 29,376 = 29,376 : x
  2. Step 2: Convert to fraction form
    20,334/29,376 = 29,376/x
  3. Step 3: Cross multiply
    20,334x = 29,376 × 29,376
  4. Step 4: Simplify right side
    20,334x = 862,949,376
  5. Step 5: Solve for x
    x = 862,949,376/20,334
  6. Step 6: Final answer
    x = 42,438.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.