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Finding the Third Proportional to 6,149.81 and 14,437.97

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Solution

The third proportional to 6,149.81 and 14,437.97 is: 33,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.81 : 14,437.97 = 14,437.97 : x
  2. Step 2: Convert to fraction form
    6,149.81/14,437.97 = 14,437.97/x
  3. Step 3: Cross multiply
    6,149.81x = 14,437.97 × 14,437.97
  4. Step 4: Simplify right side
    6,149.81x = 208,454,941.63
  5. Step 5: Solve for x
    x = 208,454,941.63/6,149.81
  6. Step 6: Final answer
    x = 33,896.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.