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Finding the Third Proportional to 29,736 and 64,656

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Solution

The third proportional to 29,736 and 64,656 is: 140,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,736 : 64,656 = 64,656 : x
  2. Step 2: Convert to fraction form
    29,736/64,656 = 64,656/x
  3. Step 3: Cross multiply
    29,736x = 64,656 × 64,656
  4. Step 4: Simplify right side
    29,736x = 4,180,398,336
  5. Step 5: Solve for x
    x = 4,180,398,336/29,736
  6. Step 6: Final answer
    x = 140,583.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.