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Finding the Third Proportional to 33,720 and 53,586

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Solution

The third proportional to 33,720 and 53,586 is: 85,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,720 : 53,586 = 53,586 : x
  2. Step 2: Convert to fraction form
    33,720/53,586 = 53,586/x
  3. Step 3: Cross multiply
    33,720x = 53,586 × 53,586
  4. Step 4: Simplify right side
    33,720x = 2,871,459,396
  5. Step 5: Solve for x
    x = 2,871,459,396/33,720
  6. Step 6: Final answer
    x = 85,155.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.