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Finding the Third Proportional to 7,992 and 19,370.25

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Solution

The third proportional to 7,992 and 19,370.25 is: 46,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992 : 19,370.25 = 19,370.25 : x
  2. Step 2: Convert to fraction form
    7,992/19,370.25 = 19,370.25/x
  3. Step 3: Cross multiply
    7,992x = 19,370.25 × 19,370.25
  4. Step 4: Simplify right side
    7,992x = 375,206,585.06
  5. Step 5: Solve for x
    x = 375,206,585.06/7,992
  6. Step 6: Final answer
    x = 46,947.77

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.