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Finding the Third Proportional to 4,859.20 and 7,503.56

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Solution

The third proportional to 4,859.20 and 7,503.56 is: 11,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.20 : 7,503.56 = 7,503.56 : x
  2. Step 2: Convert to fraction form
    4,859.20/7,503.56 = 7,503.56/x
  3. Step 3: Cross multiply
    4,859.20x = 7,503.56 × 7,503.56
  4. Step 4: Simplify right side
    4,859.20x = 56,303,450.19
  5. Step 5: Solve for x
    x = 56,303,450.19/4,859.20
  6. Step 6: Final answer
    x = 11,586.97

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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.