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Finding the Third Proportional to 29,241.75 and 41,675.63

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Solution

The third proportional to 29,241.75 and 41,675.63 is: 59,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241.75 : 41,675.63 = 41,675.63 : x
  2. Step 2: Convert to fraction form
    29,241.75/41,675.63 = 41,675.63/x
  3. Step 3: Cross multiply
    29,241.75x = 41,675.63 × 41,675.63
  4. Step 4: Simplify right side
    29,241.75x = 1,736,857,719.14
  5. Step 5: Solve for x
    x = 1,736,857,719.14/29,241.75
  6. Step 6: Final answer
    x = 59,396.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.