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Finding the Third Proportional to 9,097.71 and 19,797.22

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Solution

The third proportional to 9,097.71 and 19,797.22 is: 43,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.71 : 19,797.22 = 19,797.22 : x
  2. Step 2: Convert to fraction form
    9,097.71/19,797.22 = 19,797.22/x
  3. Step 3: Cross multiply
    9,097.71x = 19,797.22 × 19,797.22
  4. Step 4: Simplify right side
    9,097.71x = 391,930,024.90
  5. Step 5: Solve for x
    x = 391,930,024.90/9,097.71
  6. Step 6: Final answer
    x = 43,080.08

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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.