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Finding the Third Proportional to 4,873.29 and 7,358.34

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Solution

The third proportional to 4,873.29 and 7,358.34 is: 11,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.29 : 7,358.34 = 7,358.34 : x
  2. Step 2: Convert to fraction form
    4,873.29/7,358.34 = 7,358.34/x
  3. Step 3: Cross multiply
    4,873.29x = 7,358.34 × 7,358.34
  4. Step 4: Simplify right side
    4,873.29x = 54,145,222.74
  5. Step 5: Solve for x
    x = 54,145,222.74/4,873.29
  6. Step 6: Final answer
    x = 11,110.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.