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Finding the Third Proportional to 12,233.53 and 25,780.78

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Solution

The third proportional to 12,233.53 and 25,780.78 is: 54,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 25,780.78 = 25,780.78 : x
  2. Step 2: Convert to fraction form
    12,233.53/25,780.78 = 25,780.78/x
  3. Step 3: Cross multiply
    12,233.53x = 25,780.78 × 25,780.78
  4. Step 4: Simplify right side
    12,233.53x = 664,648,681.86
  5. Step 5: Solve for x
    x = 664,648,681.86/12,233.53
  6. Step 6: Final answer
    x = 54,330.08

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.