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Finding the Third Proportional to 29,684 and 39,656

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Solution

The third proportional to 29,684 and 39,656 is: 52,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684 : 39,656 = 39,656 : x
  2. Step 2: Convert to fraction form
    29,684/39,656 = 39,656/x
  3. Step 3: Cross multiply
    29,684x = 39,656 × 39,656
  4. Step 4: Simplify right side
    29,684x = 1,572,598,336
  5. Step 5: Solve for x
    x = 1,572,598,336/29,684
  6. Step 6: Final answer
    x = 52,977.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.