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Finding the Third Proportional to 36,028 and 53,109

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Solution

The third proportional to 36,028 and 53,109 is: 78,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,028 : 53,109 = 53,109 : x
  2. Step 2: Convert to fraction form
    36,028/53,109 = 53,109/x
  3. Step 3: Cross multiply
    36,028x = 53,109 × 53,109
  4. Step 4: Simplify right side
    36,028x = 2,820,565,881
  5. Step 5: Solve for x
    x = 2,820,565,881/36,028
  6. Step 6: Final answer
    x = 78,288.16

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