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Finding the Third Proportional to 47,336 and 67,284

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Solution

The third proportional to 47,336 and 67,284 is: 95,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,336 : 67,284 = 67,284 : x
  2. Step 2: Convert to fraction form
    47,336/67,284 = 67,284/x
  3. Step 3: Cross multiply
    47,336x = 67,284 × 67,284
  4. Step 4: Simplify right side
    47,336x = 4,527,136,656
  5. Step 5: Solve for x
    x = 4,527,136,656/47,336
  6. Step 6: Final answer
    x = 95,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.