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Finding the Third Proportional to 5,054 and 7,790.25

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Solution

The third proportional to 5,054 and 7,790.25 is: 12,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054 : 7,790.25 = 7,790.25 : x
  2. Step 2: Convert to fraction form
    5,054/7,790.25 = 7,790.25/x
  3. Step 3: Cross multiply
    5,054x = 7,790.25 × 7,790.25
  4. Step 4: Simplify right side
    5,054x = 60,687,995.06
  5. Step 5: Solve for x
    x = 60,687,995.06/5,054
  6. Step 6: Final answer
    x = 12,007.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.