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Finding the Third Proportional to 2,937.94 and 4,672.69

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Solution

The third proportional to 2,937.94 and 4,672.69 is: 7,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.94 : 4,672.69 = 4,672.69 : x
  2. Step 2: Convert to fraction form
    2,937.94/4,672.69 = 4,672.69/x
  3. Step 3: Cross multiply
    2,937.94x = 4,672.69 × 4,672.69
  4. Step 4: Simplify right side
    2,937.94x = 21,834,008.47
  5. Step 5: Solve for x
    x = 21,834,008.47/2,937.94
  6. Step 6: Final answer
    x = 7,431.75

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