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Finding the Third Proportional to 6,374.25 and 9,696.38

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Solution

The third proportional to 6,374.25 and 9,696.38 is: 14,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.25 : 9,696.38 = 9,696.38 : x
  2. Step 2: Convert to fraction form
    6,374.25/9,696.38 = 9,696.38/x
  3. Step 3: Cross multiply
    6,374.25x = 9,696.38 × 9,696.38
  4. Step 4: Simplify right side
    6,374.25x = 94,019,688.14
  5. Step 5: Solve for x
    x = 94,019,688.14/6,374.25
  6. Step 6: Final answer
    x = 14,749.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.