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Finding the Third Proportional to 33,465 and 53,815

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Solution

The third proportional to 33,465 and 53,815 is: 86,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465 : 53,815 = 53,815 : x
  2. Step 2: Convert to fraction form
    33,465/53,815 = 53,815/x
  3. Step 3: Cross multiply
    33,465x = 53,815 × 53,815
  4. Step 4: Simplify right side
    33,465x = 2,896,054,225
  5. Step 5: Solve for x
    x = 2,896,054,225/33,465
  6. Step 6: Final answer
    x = 86,539.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.