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Finding the Third Proportional to 39,496 and 57,852

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Solution

The third proportional to 39,496 and 57,852 is: 84,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,496 : 57,852 = 57,852 : x
  2. Step 2: Convert to fraction form
    39,496/57,852 = 57,852/x
  3. Step 3: Cross multiply
    39,496x = 57,852 × 57,852
  4. Step 4: Simplify right side
    39,496x = 3,346,853,904
  5. Step 5: Solve for x
    x = 3,346,853,904/39,496
  6. Step 6: Final answer
    x = 84,739.06

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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.