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Finding the Third Proportional to 8,415 and 11,791

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Solution

The third proportional to 8,415 and 11,791 is: 16,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415 : 11,791 = 11,791 : x
  2. Step 2: Convert to fraction form
    8,415/11,791 = 11,791/x
  3. Step 3: Cross multiply
    8,415x = 11,791 × 11,791
  4. Step 4: Simplify right side
    8,415x = 139,027,681
  5. Step 5: Solve for x
    x = 139,027,681/8,415
  6. Step 6: Final answer
    x = 16,521.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.