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Finding the Third Proportional to 29,567 and 39,963

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Solution

The third proportional to 29,567 and 39,963 is: 54,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567 : 39,963 = 39,963 : x
  2. Step 2: Convert to fraction form
    29,567/39,963 = 39,963/x
  3. Step 3: Cross multiply
    29,567x = 39,963 × 39,963
  4. Step 4: Simplify right side
    29,567x = 1,597,041,369
  5. Step 5: Solve for x
    x = 1,597,041,369/29,567
  6. Step 6: Final answer
    x = 54,014.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.