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Finding the Third Proportional to 8,961.75 and 13,125.66

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Solution

The third proportional to 8,961.75 and 13,125.66 is: 19,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.75 : 13,125.66 = 13,125.66 : x
  2. Step 2: Convert to fraction form
    8,961.75/13,125.66 = 13,125.66/x
  3. Step 3: Cross multiply
    8,961.75x = 13,125.66 × 13,125.66
  4. Step 4: Simplify right side
    8,961.75x = 172,282,851.99
  5. Step 5: Solve for x
    x = 172,282,851.99/8,961.75
  6. Step 6: Final answer
    x = 19,224.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.