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Finding the Third Proportional to 29,766 and 43,677

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Solution

The third proportional to 29,766 and 43,677 is: 64,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766 : 43,677 = 43,677 : x
  2. Step 2: Convert to fraction form
    29,766/43,677 = 43,677/x
  3. Step 3: Cross multiply
    29,766x = 43,677 × 43,677
  4. Step 4: Simplify right side
    29,766x = 1,907,680,329
  5. Step 5: Solve for x
    x = 1,907,680,329/29,766
  6. Step 6: Final answer
    x = 64,089.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.