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Finding the Third Proportional to 12,233.53 and 32,577.19

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Solution

The third proportional to 12,233.53 and 32,577.19 is: 86,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 32,577.19 = 32,577.19 : x
  2. Step 2: Convert to fraction form
    12,233.53/32,577.19 = 32,577.19/x
  3. Step 3: Cross multiply
    12,233.53x = 32,577.19 × 32,577.19
  4. Step 4: Simplify right side
    12,233.53x = 1,061,273,145.41
  5. Step 5: Solve for x
    x = 1,061,273,145.41/12,233.53
  6. Step 6: Final answer
    x = 86,751.17

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These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.