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Finding the Third Proportional to 36,092 and 53,044

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Solution

The third proportional to 36,092 and 53,044 is: 77,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,092 : 53,044 = 53,044 : x
  2. Step 2: Convert to fraction form
    36,092/53,044 = 53,044/x
  3. Step 3: Cross multiply
    36,092x = 53,044 × 53,044
  4. Step 4: Simplify right side
    36,092x = 2,813,665,936
  5. Step 5: Solve for x
    x = 2,813,665,936/36,092
  6. Step 6: Final answer
    x = 77,958.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.