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Finding the Third Proportional to 7,448 and 12,087

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Solution

The third proportional to 7,448 and 12,087 is: 19,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448 : 12,087 = 12,087 : x
  2. Step 2: Convert to fraction form
    7,448/12,087 = 12,087/x
  3. Step 3: Cross multiply
    7,448x = 12,087 × 12,087
  4. Step 4: Simplify right side
    7,448x = 146,095,569
  5. Step 5: Solve for x
    x = 146,095,569/7,448
  6. Step 6: Final answer
    x = 19,615.41

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.