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Finding the Third Proportional to 4,715.68 and 7,074.11

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Solution

The third proportional to 4,715.68 and 7,074.11 is: 10,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.68 : 7,074.11 = 7,074.11 : x
  2. Step 2: Convert to fraction form
    4,715.68/7,074.11 = 7,074.11/x
  3. Step 3: Cross multiply
    4,715.68x = 7,074.11 × 7,074.11
  4. Step 4: Simplify right side
    4,715.68x = 50,042,968.18
  5. Step 5: Solve for x
    x = 50,042,968.18/4,715.68
  6. Step 6: Final answer
    x = 10,612.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.