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Finding the Third Proportional to 5,225.25 and 8,094.13

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Solution

The third proportional to 5,225.25 and 8,094.13 is: 12,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.25 : 8,094.13 = 8,094.13 : x
  2. Step 2: Convert to fraction form
    5,225.25/8,094.13 = 8,094.13/x
  3. Step 3: Cross multiply
    5,225.25x = 8,094.13 × 8,094.13
  4. Step 4: Simplify right side
    5,225.25x = 65,514,859.52
  5. Step 5: Solve for x
    x = 65,514,859.52/5,225.25
  6. Step 6: Final answer
    x = 12,538.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.