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Finding the Third Proportional to 29,634 and 44,367

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Solution

The third proportional to 29,634 and 44,367 is: 66,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,634 : 44,367 = 44,367 : x
  2. Step 2: Convert to fraction form
    29,634/44,367 = 44,367/x
  3. Step 3: Cross multiply
    29,634x = 44,367 × 44,367
  4. Step 4: Simplify right side
    29,634x = 1,968,430,689
  5. Step 5: Solve for x
    x = 1,968,430,689/29,634
  6. Step 6: Final answer
    x = 66,424.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.