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Finding the Third Proportional to 32,996.25 and 77,811.75

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Solution

The third proportional to 32,996.25 and 77,811.75 is: 183,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996.25 : 77,811.75 = 77,811.75 : x
  2. Step 2: Convert to fraction form
    32,996.25/77,811.75 = 77,811.75/x
  3. Step 3: Cross multiply
    32,996.25x = 77,811.75 × 77,811.75
  4. Step 4: Simplify right side
    32,996.25x = 6,054,668,438.06
  5. Step 5: Solve for x
    x = 6,054,668,438.06/32,996.25
  6. Step 6: Final answer
    x = 183,495.65

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.