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Finding the Third Proportional to 5,121 and 6,950.25

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Solution

The third proportional to 5,121 and 6,950.25 is: 9,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121 : 6,950.25 = 6,950.25 : x
  2. Step 2: Convert to fraction form
    5,121/6,950.25 = 6,950.25/x
  3. Step 3: Cross multiply
    5,121x = 6,950.25 × 6,950.25
  4. Step 4: Simplify right side
    5,121x = 48,305,975.06
  5. Step 5: Solve for x
    x = 48,305,975.06/5,121
  6. Step 6: Final answer
    x = 9,432.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.