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Finding the Third Proportional to 7,981 and 10,735

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Solution

The third proportional to 7,981 and 10,735 is: 14,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981 : 10,735 = 10,735 : x
  2. Step 2: Convert to fraction form
    7,981/10,735 = 10,735/x
  3. Step 3: Cross multiply
    7,981x = 10,735 × 10,735
  4. Step 4: Simplify right side
    7,981x = 115,240,225
  5. Step 5: Solve for x
    x = 115,240,225/7,981
  6. Step 6: Final answer
    x = 14,439.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.