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Finding the Third Proportional to 39,000 and 57,037

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Solution

The third proportional to 39,000 and 57,037 is: 83,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,000 : 57,037 = 57,037 : x
  2. Step 2: Convert to fraction form
    39,000/57,037 = 57,037/x
  3. Step 3: Cross multiply
    39,000x = 57,037 × 57,037
  4. Step 4: Simplify right side
    39,000x = 3,253,219,369
  5. Step 5: Solve for x
    x = 3,253,219,369/39,000
  6. Step 6: Final answer
    x = 83,415.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.