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Finding the Third Proportional to 7,392.38 and 10,397.25

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Solution

The third proportional to 7,392.38 and 10,397.25 is: 14,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.38 : 10,397.25 = 10,397.25 : x
  2. Step 2: Convert to fraction form
    7,392.38/10,397.25 = 10,397.25/x
  3. Step 3: Cross multiply
    7,392.38x = 10,397.25 × 10,397.25
  4. Step 4: Simplify right side
    7,392.38x = 108,102,807.56
  5. Step 5: Solve for x
    x = 108,102,807.56/7,392.38
  6. Step 6: Final answer
    x = 14,623.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.