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Finding the Third Proportional to 29,086.50 and 39,438

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Solution

The third proportional to 29,086.50 and 39,438 is: 53,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,086.50 : 39,438 = 39,438 : x
  2. Step 2: Convert to fraction form
    29,086.50/39,438 = 39,438/x
  3. Step 3: Cross multiply
    29,086.50x = 39,438 × 39,438
  4. Step 4: Simplify right side
    29,086.50x = 1,555,355,844
  5. Step 5: Solve for x
    x = 1,555,355,844/29,086.50
  6. Step 6: Final answer
    x = 53,473.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.