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Finding the Third Proportional to 5,221.50 and 8,094.38

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Solution

The third proportional to 5,221.50 and 8,094.38 is: 12,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.50 : 8,094.38 = 8,094.38 : x
  2. Step 2: Convert to fraction form
    5,221.50/8,094.38 = 8,094.38/x
  3. Step 3: Cross multiply
    5,221.50x = 8,094.38 × 8,094.38
  4. Step 4: Simplify right side
    5,221.50x = 65,518,906.64
  5. Step 5: Solve for x
    x = 65,518,906.64/5,221.50
  6. Step 6: Final answer
    x = 12,547.91

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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.