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Finding the Third Proportional to 4,528.62 and 7,069.15

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Solution

The third proportional to 4,528.62 and 7,069.15 is: 11,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528.62 : 7,069.15 = 7,069.15 : x
  2. Step 2: Convert to fraction form
    4,528.62/7,069.15 = 7,069.15/x
  3. Step 3: Cross multiply
    4,528.62x = 7,069.15 × 7,069.15
  4. Step 4: Simplify right side
    4,528.62x = 49,972,859.63
  5. Step 5: Solve for x
    x = 49,972,859.63/4,528.62
  6. Step 6: Final answer
    x = 11,034.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.