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Finding the Third Proportional to 7,890.33 and 17,265.23

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Solution

The third proportional to 7,890.33 and 17,265.23 is: 37,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.33 : 17,265.23 = 17,265.23 : x
  2. Step 2: Convert to fraction form
    7,890.33/17,265.23 = 17,265.23/x
  3. Step 3: Cross multiply
    7,890.33x = 17,265.23 × 17,265.23
  4. Step 4: Simplify right side
    7,890.33x = 298,088,318.02
  5. Step 5: Solve for x
    x = 298,088,318.02/7,890.33
  6. Step 6: Final answer
    x = 37,778.95

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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.