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Finding the Third Proportional to 6,943.22 and 9,921.80

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Solution

The third proportional to 6,943.22 and 9,921.80 is: 14,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.22 : 9,921.80 = 9,921.80 : x
  2. Step 2: Convert to fraction form
    6,943.22/9,921.80 = 9,921.80/x
  3. Step 3: Cross multiply
    6,943.22x = 9,921.80 × 9,921.80
  4. Step 4: Simplify right side
    6,943.22x = 98,442,053.23
  5. Step 5: Solve for x
    x = 98,442,053.23/6,943.22
  6. Step 6: Final answer
    x = 14,178.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.