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Finding the Third Proportional to 9,261.84 and 19,979.16

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Solution

The third proportional to 9,261.84 and 19,979.16 is: 43,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.84 : 19,979.16 = 19,979.16 : x
  2. Step 2: Convert to fraction form
    9,261.84/19,979.16 = 19,979.16/x
  3. Step 3: Cross multiply
    9,261.84x = 19,979.16 × 19,979.16
  4. Step 4: Simplify right side
    9,261.84x = 399,166,684.46
  5. Step 5: Solve for x
    x = 399,166,684.46/9,261.84
  6. Step 6: Final answer
    x = 43,097.97

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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.