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Finding the Third Proportional to 8,932 and 14,078

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Solution

The third proportional to 8,932 and 14,078 is: 22,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932 : 14,078 = 14,078 : x
  2. Step 2: Convert to fraction form
    8,932/14,078 = 14,078/x
  3. Step 3: Cross multiply
    8,932x = 14,078 × 14,078
  4. Step 4: Simplify right side
    8,932x = 198,190,084
  5. Step 5: Solve for x
    x = 198,190,084/8,932
  6. Step 6: Final answer
    x = 22,188.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.