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Finding the Third Proportional to 7,370.25 and 15,165.75

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Solution

The third proportional to 7,370.25 and 15,165.75 is: 31,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,370.25 : 15,165.75 = 15,165.75 : x
  2. Step 2: Convert to fraction form
    7,370.25/15,165.75 = 15,165.75/x
  3. Step 3: Cross multiply
    7,370.25x = 15,165.75 × 15,165.75
  4. Step 4: Simplify right side
    7,370.25x = 229,999,973.06
  5. Step 5: Solve for x
    x = 229,999,973.06/7,370.25
  6. Step 6: Final answer
    x = 31,206.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.