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Finding the Third Proportional to 39,232 and 55,888

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Solution

The third proportional to 39,232 and 55,888 is: 79,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,232 : 55,888 = 55,888 : x
  2. Step 2: Convert to fraction form
    39,232/55,888 = 55,888/x
  3. Step 3: Cross multiply
    39,232x = 55,888 × 55,888
  4. Step 4: Simplify right side
    39,232x = 3,123,468,544
  5. Step 5: Solve for x
    x = 3,123,468,544/39,232
  6. Step 6: Final answer
    x = 79,615.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.