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Finding the Third Proportional to 47,706 and 64,794

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Solution

The third proportional to 47,706 and 64,794 is: 88,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706 : 64,794 = 64,794 : x
  2. Step 2: Convert to fraction form
    47,706/64,794 = 64,794/x
  3. Step 3: Cross multiply
    47,706x = 64,794 × 64,794
  4. Step 4: Simplify right side
    47,706x = 4,198,262,436
  5. Step 5: Solve for x
    x = 4,198,262,436/47,706
  6. Step 6: Final answer
    x = 88,002.82

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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.