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Finding the Third Proportional to 8,032.50 and 11,974.50

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Solution

The third proportional to 8,032.50 and 11,974.50 is: 17,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.50 : 11,974.50 = 11,974.50 : x
  2. Step 2: Convert to fraction form
    8,032.50/11,974.50 = 11,974.50/x
  3. Step 3: Cross multiply
    8,032.50x = 11,974.50 × 11,974.50
  4. Step 4: Simplify right side
    8,032.50x = 143,388,650.25
  5. Step 5: Solve for x
    x = 143,388,650.25/8,032.50
  6. Step 6: Final answer
    x = 17,851.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.