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Finding the Third Proportional to 10,611 and 24,780.94

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Solution

The third proportional to 10,611 and 24,780.94 is: 57,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611 : 24,780.94 = 24,780.94 : x
  2. Step 2: Convert to fraction form
    10,611/24,780.94 = 24,780.94/x
  3. Step 3: Cross multiply
    10,611x = 24,780.94 × 24,780.94
  4. Step 4: Simplify right side
    10,611x = 614,094,863.38
  5. Step 5: Solve for x
    x = 614,094,863.38/10,611
  6. Step 6: Final answer
    x = 57,873.42

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.