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Finding the Third Proportional to 13,020.75 and 30,196.13

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Solution

The third proportional to 13,020.75 and 30,196.13 is: 70,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.75 : 30,196.13 = 30,196.13 : x
  2. Step 2: Convert to fraction form
    13,020.75/30,196.13 = 30,196.13/x
  3. Step 3: Cross multiply
    13,020.75x = 30,196.13 × 30,196.13
  4. Step 4: Simplify right side
    13,020.75x = 911,805,965.02
  5. Step 5: Solve for x
    x = 911,805,965.02/13,020.75
  6. Step 6: Final answer
    x = 70,027.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.