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Finding the Third Proportional to 8,127 and 9,927

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Solution

The third proportional to 8,127 and 9,927 is: 12,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 9,927 = 9,927 : x
  2. Step 2: Convert to fraction form
    8,127/9,927 = 9,927/x
  3. Step 3: Cross multiply
    8,127x = 9,927 × 9,927
  4. Step 4: Simplify right side
    8,127x = 98,545,329
  5. Step 5: Solve for x
    x = 98,545,329/8,127
  6. Step 6: Final answer
    x = 12,125.67

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.