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Finding the Third Proportional to 13,285.13 and 17,713.69

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Solution

The third proportional to 13,285.13 and 17,713.69 is: 23,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.13 : 17,713.69 = 17,713.69 : x
  2. Step 2: Convert to fraction form
    13,285.13/17,713.69 = 17,713.69/x
  3. Step 3: Cross multiply
    13,285.13x = 17,713.69 × 17,713.69
  4. Step 4: Simplify right side
    13,285.13x = 313,774,724.85
  5. Step 5: Solve for x
    x = 313,774,724.85/13,285.13
  6. Step 6: Final answer
    x = 23,618.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.