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Finding the Third Proportional to 6,031.13 and 12,980.25

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Solution

The third proportional to 6,031.13 and 12,980.25 is: 27,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.13 : 12,980.25 = 12,980.25 : x
  2. Step 2: Convert to fraction form
    6,031.13/12,980.25 = 12,980.25/x
  3. Step 3: Cross multiply
    6,031.13x = 12,980.25 × 12,980.25
  4. Step 4: Simplify right side
    6,031.13x = 168,486,890.06
  5. Step 5: Solve for x
    x = 168,486,890.06/6,031.13
  6. Step 6: Final answer
    x = 27,936.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.