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Finding the Third Proportional to 9,857.53 and 21,097.97

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Solution

The third proportional to 9,857.53 and 21,097.97 is: 45,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.53 : 21,097.97 = 21,097.97 : x
  2. Step 2: Convert to fraction form
    9,857.53/21,097.97 = 21,097.97/x
  3. Step 3: Cross multiply
    9,857.53x = 21,097.97 × 21,097.97
  4. Step 4: Simplify right side
    9,857.53x = 445,124,285.38
  5. Step 5: Solve for x
    x = 445,124,285.38/9,857.53
  6. Step 6: Final answer
    x = 45,155.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.