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Finding the Third Proportional to 7,276.50 and 9,416.25

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Solution

The third proportional to 7,276.50 and 9,416.25 is: 12,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.50 : 9,416.25 = 9,416.25 : x
  2. Step 2: Convert to fraction form
    7,276.50/9,416.25 = 9,416.25/x
  3. Step 3: Cross multiply
    7,276.50x = 9,416.25 × 9,416.25
  4. Step 4: Simplify right side
    7,276.50x = 88,665,764.06
  5. Step 5: Solve for x
    x = 88,665,764.06/7,276.50
  6. Step 6: Final answer
    x = 12,185.22

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.