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Finding the Third Proportional to 13,942 and 29,791

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Solution

The third proportional to 13,942 and 29,791 is: 63,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942 : 29,791 = 29,791 : x
  2. Step 2: Convert to fraction form
    13,942/29,791 = 29,791/x
  3. Step 3: Cross multiply
    13,942x = 29,791 × 29,791
  4. Step 4: Simplify right side
    13,942x = 887,503,681
  5. Step 5: Solve for x
    x = 887,503,681/13,942
  6. Step 6: Final answer
    x = 63,656.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.