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Finding the Third Proportional to 11,775.75 and 16,504.13

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Solution

The third proportional to 11,775.75 and 16,504.13 is: 23,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.75 : 16,504.13 = 16,504.13 : x
  2. Step 2: Convert to fraction form
    11,775.75/16,504.13 = 16,504.13/x
  3. Step 3: Cross multiply
    11,775.75x = 16,504.13 × 16,504.13
  4. Step 4: Simplify right side
    11,775.75x = 272,386,142.02
  5. Step 5: Solve for x
    x = 272,386,142.02/11,775.75
  6. Step 6: Final answer
    x = 23,131.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.