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Finding the Third Proportional to 5,114 and 6,906.25

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Solution

The third proportional to 5,114 and 6,906.25 is: 9,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 6,906.25 = 6,906.25 : x
  2. Step 2: Convert to fraction form
    5,114/6,906.25 = 6,906.25/x
  3. Step 3: Cross multiply
    5,114x = 6,906.25 × 6,906.25
  4. Step 4: Simplify right side
    5,114x = 47,696,289.06
  5. Step 5: Solve for x
    x = 47,696,289.06/5,114
  6. Step 6: Final answer
    x = 9,326.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.