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Finding the Third Proportional to 7,127 and 10,204

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Solution

The third proportional to 7,127 and 10,204 is: 14,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127 : 10,204 = 10,204 : x
  2. Step 2: Convert to fraction form
    7,127/10,204 = 10,204/x
  3. Step 3: Cross multiply
    7,127x = 10,204 × 10,204
  4. Step 4: Simplify right side
    7,127x = 104,121,616
  5. Step 5: Solve for x
    x = 104,121,616/7,127
  6. Step 6: Final answer
    x = 14,609.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.