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Finding the Third Proportional to 29,502 and 43,677

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Solution

The third proportional to 29,502 and 43,677 is: 64,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502 : 43,677 = 43,677 : x
  2. Step 2: Convert to fraction form
    29,502/43,677 = 43,677/x
  3. Step 3: Cross multiply
    29,502x = 43,677 × 43,677
  4. Step 4: Simplify right side
    29,502x = 1,907,680,329
  5. Step 5: Solve for x
    x = 1,907,680,329/29,502
  6. Step 6: Final answer
    x = 64,662.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.