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Finding the Third Proportional to 7,376.85 and 11,731.63

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Solution

The third proportional to 7,376.85 and 11,731.63 is: 18,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.85 : 11,731.63 = 11,731.63 : x
  2. Step 2: Convert to fraction form
    7,376.85/11,731.63 = 11,731.63/x
  3. Step 3: Cross multiply
    7,376.85x = 11,731.63 × 11,731.63
  4. Step 4: Simplify right side
    7,376.85x = 137,631,185.53
  5. Step 5: Solve for x
    x = 137,631,185.53/7,376.85
  6. Step 6: Final answer
    x = 18,657.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.