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Finding the Third Proportional to 10,306 and 14,195

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Solution

The third proportional to 10,306 and 14,195 is: 19,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306 : 14,195 = 14,195 : x
  2. Step 2: Convert to fraction form
    10,306/14,195 = 14,195/x
  3. Step 3: Cross multiply
    10,306x = 14,195 × 14,195
  4. Step 4: Simplify right side
    10,306x = 201,498,025
  5. Step 5: Solve for x
    x = 201,498,025/10,306
  6. Step 6: Final answer
    x = 19,551.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.