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Finding the Third Proportional to 35,218 and 47,966

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Solution

The third proportional to 35,218 and 47,966 is: 65,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218 : 47,966 = 47,966 : x
  2. Step 2: Convert to fraction form
    35,218/47,966 = 47,966/x
  3. Step 3: Cross multiply
    35,218x = 47,966 × 47,966
  4. Step 4: Simplify right side
    35,218x = 2,300,737,156
  5. Step 5: Solve for x
    x = 2,300,737,156/35,218
  6. Step 6: Final answer
    x = 65,328.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.