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Finding the Third Proportional to 39,966 and 53,037

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Solution

The third proportional to 39,966 and 53,037 is: 70,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,966 : 53,037 = 53,037 : x
  2. Step 2: Convert to fraction form
    39,966/53,037 = 53,037/x
  3. Step 3: Cross multiply
    39,966x = 53,037 × 53,037
  4. Step 4: Simplify right side
    39,966x = 2,812,923,369
  5. Step 5: Solve for x
    x = 2,812,923,369/39,966
  6. Step 6: Final answer
    x = 70,382.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.