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Finding the Third Proportional to 47,682 and 56,466

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Solution

The third proportional to 47,682 and 56,466 is: 66,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682 : 56,466 = 56,466 : x
  2. Step 2: Convert to fraction form
    47,682/56,466 = 56,466/x
  3. Step 3: Cross multiply
    47,682x = 56,466 × 56,466
  4. Step 4: Simplify right side
    47,682x = 3,188,409,156
  5. Step 5: Solve for x
    x = 3,188,409,156/47,682
  6. Step 6: Final answer
    x = 66,868.19

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.