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Finding the Third Proportional to 29,038.50 and 40,960.69

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Solution

The third proportional to 29,038.50 and 40,960.69 is: 57,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.50 : 40,960.69 = 40,960.69 : x
  2. Step 2: Convert to fraction form
    29,038.50/40,960.69 = 40,960.69/x
  3. Step 3: Cross multiply
    29,038.50x = 40,960.69 × 40,960.69
  4. Step 4: Simplify right side
    29,038.50x = 1,677,777,920.47
  5. Step 5: Solve for x
    x = 1,677,777,920.47/29,038.50
  6. Step 6: Final answer
    x = 57,777.71

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