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Finding the Third Proportional to 29,736 and 44,856

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Solution

The third proportional to 29,736 and 44,856 is: 67,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,736 : 44,856 = 44,856 : x
  2. Step 2: Convert to fraction form
    29,736/44,856 = 44,856/x
  3. Step 3: Cross multiply
    29,736x = 44,856 × 44,856
  4. Step 4: Simplify right side
    29,736x = 2,012,060,736
  5. Step 5: Solve for x
    x = 2,012,060,736/29,736
  6. Step 6: Final answer
    x = 67,664.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.