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Finding the Third Proportional to 39,232 and 55,168

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Solution

The third proportional to 39,232 and 55,168 is: 77,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,232 : 55,168 = 55,168 : x
  2. Step 2: Convert to fraction form
    39,232/55,168 = 55,168/x
  3. Step 3: Cross multiply
    39,232x = 55,168 × 55,168
  4. Step 4: Simplify right side
    39,232x = 3,043,508,224
  5. Step 5: Solve for x
    x = 3,043,508,224/39,232
  6. Step 6: Final answer
    x = 77,577.19

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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.