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Finding the Third Proportional to 7,970.25 and 17,193.75

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Solution

The third proportional to 7,970.25 and 17,193.75 is: 37,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.25 : 17,193.75 = 17,193.75 : x
  2. Step 2: Convert to fraction form
    7,970.25/17,193.75 = 17,193.75/x
  3. Step 3: Cross multiply
    7,970.25x = 17,193.75 × 17,193.75
  4. Step 4: Simplify right side
    7,970.25x = 295,625,039.06
  5. Step 5: Solve for x
    x = 295,625,039.06/7,970.25
  6. Step 6: Final answer
    x = 37,091.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.