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Finding the Third Proportional to 10,775.53 and 16,117.73

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Solution

The third proportional to 10,775.53 and 16,117.73 is: 24,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.53 : 16,117.73 = 16,117.73 : x
  2. Step 2: Convert to fraction form
    10,775.53/16,117.73 = 16,117.73/x
  3. Step 3: Cross multiply
    10,775.53x = 16,117.73 × 16,117.73
  4. Step 4: Simplify right side
    10,775.53x = 259,781,361.38
  5. Step 5: Solve for x
    x = 259,781,361.38/10,775.53
  6. Step 6: Final answer
    x = 24,108.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.