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Finding the Third Proportional to 29,656.75 and 41,123.50

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Solution

The third proportional to 29,656.75 and 41,123.50 is: 57,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.75 : 41,123.50 = 41,123.50 : x
  2. Step 2: Convert to fraction form
    29,656.75/41,123.50 = 41,123.50/x
  3. Step 3: Cross multiply
    29,656.75x = 41,123.50 × 41,123.50
  4. Step 4: Simplify right side
    29,656.75x = 1,691,142,252.25
  5. Step 5: Solve for x
    x = 1,691,142,252.25/29,656.75
  6. Step 6: Final answer
    x = 57,023.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.