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Finding the Third Proportional to 32,828.25 and 52,260.38

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Solution

The third proportional to 32,828.25 and 52,260.38 is: 83,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828.25 : 52,260.38 = 52,260.38 : x
  2. Step 2: Convert to fraction form
    32,828.25/52,260.38 = 52,260.38/x
  3. Step 3: Cross multiply
    32,828.25x = 52,260.38 × 52,260.38
  4. Step 4: Simplify right side
    32,828.25x = 2,731,146,795.14
  5. Step 5: Solve for x
    x = 2,731,146,795.14/32,828.25
  6. Step 6: Final answer
    x = 83,195.02

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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.