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Finding the Third Proportional to 29,006 and 45,962

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Solution

The third proportional to 29,006 and 45,962 is: 72,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006 : 45,962 = 45,962 : x
  2. Step 2: Convert to fraction form
    29,006/45,962 = 45,962/x
  3. Step 3: Cross multiply
    29,006x = 45,962 × 45,962
  4. Step 4: Simplify right side
    29,006x = 2,112,505,444
  5. Step 5: Solve for x
    x = 2,112,505,444/29,006
  6. Step 6: Final answer
    x = 72,829.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.