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Finding the Third Proportional to 6,841.97 and 9,721.27

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Solution

The third proportional to 6,841.97 and 9,721.27 is: 13,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.97 : 9,721.27 = 9,721.27 : x
  2. Step 2: Convert to fraction form
    6,841.97/9,721.27 = 9,721.27/x
  3. Step 3: Cross multiply
    6,841.97x = 9,721.27 × 9,721.27
  4. Step 4: Simplify right side
    6,841.97x = 94,503,005.35
  5. Step 5: Solve for x
    x = 94,503,005.35/6,841.97
  6. Step 6: Final answer
    x = 13,812.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.