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Finding the Third Proportional to 39,657 and 53,832

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Solution

The third proportional to 39,657 and 53,832 is: 73,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,657 : 53,832 = 53,832 : x
  2. Step 2: Convert to fraction form
    39,657/53,832 = 53,832/x
  3. Step 3: Cross multiply
    39,657x = 53,832 × 53,832
  4. Step 4: Simplify right side
    39,657x = 2,897,884,224
  5. Step 5: Solve for x
    x = 2,897,884,224/39,657
  6. Step 6: Final answer
    x = 73,073.71

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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.