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Finding the Third Proportional to 10,097.16 and 20,684.11

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Solution

The third proportional to 10,097.16 and 20,684.11 is: 42,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.16 : 20,684.11 = 20,684.11 : x
  2. Step 2: Convert to fraction form
    10,097.16/20,684.11 = 20,684.11/x
  3. Step 3: Cross multiply
    10,097.16x = 20,684.11 × 20,684.11
  4. Step 4: Simplify right side
    10,097.16x = 427,832,380.64
  5. Step 5: Solve for x
    x = 427,832,380.64/10,097.16
  6. Step 6: Final answer
    x = 42,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.