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Finding the Third Proportional to 4,847.07 and 7,411.56

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Solution

The third proportional to 4,847.07 and 7,411.56 is: 11,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.07 : 7,411.56 = 7,411.56 : x
  2. Step 2: Convert to fraction form
    4,847.07/7,411.56 = 7,411.56/x
  3. Step 3: Cross multiply
    4,847.07x = 7,411.56 × 7,411.56
  4. Step 4: Simplify right side
    4,847.07x = 54,931,211.65
  5. Step 5: Solve for x
    x = 54,931,211.65/4,847.07
  6. Step 6: Final answer
    x = 11,332.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.