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Finding the Third Proportional to 14,342.06 and 30,761.44

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Solution

The third proportional to 14,342.06 and 30,761.44 is: 65,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.06 : 30,761.44 = 30,761.44 : x
  2. Step 2: Convert to fraction form
    14,342.06/30,761.44 = 30,761.44/x
  3. Step 3: Cross multiply
    14,342.06x = 30,761.44 × 30,761.44
  4. Step 4: Simplify right side
    14,342.06x = 946,266,037.07
  5. Step 5: Solve for x
    x = 946,266,037.07/14,342.06
  6. Step 6: Final answer
    x = 65,978.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.