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Finding the Third Proportional to 29,101.50 and 41,004

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Solution

The third proportional to 29,101.50 and 41,004 is: 57,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.50 : 41,004 = 41,004 : x
  2. Step 2: Convert to fraction form
    29,101.50/41,004 = 41,004/x
  3. Step 3: Cross multiply
    29,101.50x = 41,004 × 41,004
  4. Step 4: Simplify right side
    29,101.50x = 1,681,328,016
  5. Step 5: Solve for x
    x = 1,681,328,016/29,101.50
  6. Step 6: Final answer
    x = 57,774.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.