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Finding the Third Proportional to 4,849.56 and 6,314.68

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Solution

The third proportional to 4,849.56 and 6,314.68 is: 8,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.56 : 6,314.68 = 6,314.68 : x
  2. Step 2: Convert to fraction form
    4,849.56/6,314.68 = 6,314.68/x
  3. Step 3: Cross multiply
    4,849.56x = 6,314.68 × 6,314.68
  4. Step 4: Simplify right side
    4,849.56x = 39,875,154.89
  5. Step 5: Solve for x
    x = 39,875,154.89/4,849.56
  6. Step 6: Final answer
    x = 8,222.43

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.