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Finding the Third Proportional to 9,856 and 14,373

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Solution

The third proportional to 9,856 and 14,373 is: 20,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 14,373 = 14,373 : x
  2. Step 2: Convert to fraction form
    9,856/14,373 = 14,373/x
  3. Step 3: Cross multiply
    9,856x = 14,373 × 14,373
  4. Step 4: Simplify right side
    9,856x = 206,583,129
  5. Step 5: Solve for x
    x = 206,583,129/9,856
  6. Step 6: Final answer
    x = 20,960.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.