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Finding the Third Proportional to 6,838.13 and 10,712.25

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Solution

The third proportional to 6,838.13 and 10,712.25 is: 16,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.13 : 10,712.25 = 10,712.25 : x
  2. Step 2: Convert to fraction form
    6,838.13/10,712.25 = 10,712.25/x
  3. Step 3: Cross multiply
    6,838.13x = 10,712.25 × 10,712.25
  4. Step 4: Simplify right side
    6,838.13x = 114,752,300.06
  5. Step 5: Solve for x
    x = 114,752,300.06/6,838.13
  6. Step 6: Final answer
    x = 16,781.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.