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Finding the Third Proportional to 6,922.13 and 15,644.81

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Solution

The third proportional to 6,922.13 and 15,644.81 is: 35,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.13 : 15,644.81 = 15,644.81 : x
  2. Step 2: Convert to fraction form
    6,922.13/15,644.81 = 15,644.81/x
  3. Step 3: Cross multiply
    6,922.13x = 15,644.81 × 15,644.81
  4. Step 4: Simplify right side
    6,922.13x = 244,760,158.16
  5. Step 5: Solve for x
    x = 244,760,158.16/6,922.13
  6. Step 6: Final answer
    x = 35,359.11

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.