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Finding the Third Proportional to 33,808.50 and 53,034

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Solution

The third proportional to 33,808.50 and 53,034 is: 83,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,808.50 : 53,034 = 53,034 : x
  2. Step 2: Convert to fraction form
    33,808.50/53,034 = 53,034/x
  3. Step 3: Cross multiply
    33,808.50x = 53,034 × 53,034
  4. Step 4: Simplify right side
    33,808.50x = 2,812,605,156
  5. Step 5: Solve for x
    x = 2,812,605,156/33,808.50
  6. Step 6: Final answer
    x = 83,192.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.