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Finding the Third Proportional to 7,496.44 and 11,264.06

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Solution

The third proportional to 7,496.44 and 11,264.06 is: 16,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.44 : 11,264.06 = 11,264.06 : x
  2. Step 2: Convert to fraction form
    7,496.44/11,264.06 = 11,264.06/x
  3. Step 3: Cross multiply
    7,496.44x = 11,264.06 × 11,264.06
  4. Step 4: Simplify right side
    7,496.44x = 126,879,104.00
  5. Step 5: Solve for x
    x = 126,879,104.00/7,496.44
  6. Step 6: Final answer
    x = 16,925.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.