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Finding the Third Proportional to 6,822.56 and 14,720.06

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Solution

The third proportional to 6,822.56 and 14,720.06 is: 31,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.56 : 14,720.06 = 14,720.06 : x
  2. Step 2: Convert to fraction form
    6,822.56/14,720.06 = 14,720.06/x
  3. Step 3: Cross multiply
    6,822.56x = 14,720.06 × 14,720.06
  4. Step 4: Simplify right side
    6,822.56x = 216,680,240.00
  5. Step 5: Solve for x
    x = 216,680,240.00/6,822.56
  6. Step 6: Final answer
    x = 31,759.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.