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Finding the Third Proportional to 4,586.15 and 6,744.67

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Solution

The third proportional to 4,586.15 and 6,744.67 is: 9,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.15 : 6,744.67 = 6,744.67 : x
  2. Step 2: Convert to fraction form
    4,586.15/6,744.67 = 6,744.67/x
  3. Step 3: Cross multiply
    4,586.15x = 6,744.67 × 6,744.67
  4. Step 4: Simplify right side
    4,586.15x = 45,490,625.05
  5. Step 5: Solve for x
    x = 45,490,625.05/4,586.15
  6. Step 6: Final answer
    x = 9,919.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.