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Finding the Third Proportional to 6,130.69 and 12,995.44

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Solution

The third proportional to 6,130.69 and 12,995.44 is: 27,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.69 : 12,995.44 = 12,995.44 : x
  2. Step 2: Convert to fraction form
    6,130.69/12,995.44 = 12,995.44/x
  3. Step 3: Cross multiply
    6,130.69x = 12,995.44 × 12,995.44
  4. Step 4: Simplify right side
    6,130.69x = 168,881,395.82
  5. Step 5: Solve for x
    x = 168,881,395.82/6,130.69
  6. Step 6: Final answer
    x = 27,546.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.