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Finding the Third Proportional to 6,731.86 and 14,437.62

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Solution

The third proportional to 6,731.86 and 14,437.62 is: 30,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.86 : 14,437.62 = 14,437.62 : x
  2. Step 2: Convert to fraction form
    6,731.86/14,437.62 = 14,437.62/x
  3. Step 3: Cross multiply
    6,731.86x = 14,437.62 × 14,437.62
  4. Step 4: Simplify right side
    6,731.86x = 208,444,790.05
  5. Step 5: Solve for x
    x = 208,444,790.05/6,731.86
  6. Step 6: Final answer
    x = 30,963.93

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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.