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Finding the Third Proportional to 7,813.97 and 17,110.14

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Solution

The third proportional to 7,813.97 and 17,110.14 is: 37,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.97 : 17,110.14 = 17,110.14 : x
  2. Step 2: Convert to fraction form
    7,813.97/17,110.14 = 17,110.14/x
  3. Step 3: Cross multiply
    7,813.97x = 17,110.14 × 17,110.14
  4. Step 4: Simplify right side
    7,813.97x = 292,756,979.04
  5. Step 5: Solve for x
    x = 292,756,979.04/7,813.97
  6. Step 6: Final answer
    x = 37,465.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.