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Finding the Third Proportional to 36,904 and 55,402

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Solution

The third proportional to 36,904 and 55,402 is: 83,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,904 : 55,402 = 55,402 : x
  2. Step 2: Convert to fraction form
    36,904/55,402 = 55,402/x
  3. Step 3: Cross multiply
    36,904x = 55,402 × 55,402
  4. Step 4: Simplify right side
    36,904x = 3,069,381,604
  5. Step 5: Solve for x
    x = 3,069,381,604/36,904
  6. Step 6: Final answer
    x = 83,172.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.