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Finding the Third Proportional to 11,504.53 and 16,877.81

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Solution

The third proportional to 11,504.53 and 16,877.81 is: 24,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.53 : 16,877.81 = 16,877.81 : x
  2. Step 2: Convert to fraction form
    11,504.53/16,877.81 = 16,877.81/x
  3. Step 3: Cross multiply
    11,504.53x = 16,877.81 × 16,877.81
  4. Step 4: Simplify right side
    11,504.53x = 284,860,554.79
  5. Step 5: Solve for x
    x = 284,860,554.79/11,504.53
  6. Step 6: Final answer
    x = 24,760.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.