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Finding the Third Proportional to 11,980.13 and 27,982.13

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Solution

The third proportional to 11,980.13 and 27,982.13 is: 65,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.13 : 27,982.13 = 27,982.13 : x
  2. Step 2: Convert to fraction form
    11,980.13/27,982.13 = 27,982.13/x
  3. Step 3: Cross multiply
    11,980.13x = 27,982.13 × 27,982.13
  4. Step 4: Simplify right side
    11,980.13x = 782,999,319.52
  5. Step 5: Solve for x
    x = 782,999,319.52/11,980.13
  6. Step 6: Final answer
    x = 65,358.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.