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Finding the Third Proportional to 39,502 and 55,895

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Solution

The third proportional to 39,502 and 55,895 is: 79,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,502 : 55,895 = 55,895 : x
  2. Step 2: Convert to fraction form
    39,502/55,895 = 55,895/x
  3. Step 3: Cross multiply
    39,502x = 55,895 × 55,895
  4. Step 4: Simplify right side
    39,502x = 3,124,251,025
  5. Step 5: Solve for x
    x = 3,124,251,025/39,502
  6. Step 6: Final answer
    x = 79,090.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.