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Finding the Third Proportional to 9,983.25 and 21,723.19

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Solution

The third proportional to 9,983.25 and 21,723.19 is: 47,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.25 : 21,723.19 = 21,723.19 : x
  2. Step 2: Convert to fraction form
    9,983.25/21,723.19 = 21,723.19/x
  3. Step 3: Cross multiply
    9,983.25x = 21,723.19 × 21,723.19
  4. Step 4: Simplify right side
    9,983.25x = 471,896,875.16
  5. Step 5: Solve for x
    x = 471,896,875.16/9,983.25
  6. Step 6: Final answer
    x = 47,268.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.