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Finding the Third Proportional to 4,732.59 and 7,007.34

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Solution

The third proportional to 4,732.59 and 7,007.34 is: 10,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.59 : 7,007.34 = 7,007.34 : x
  2. Step 2: Convert to fraction form
    4,732.59/7,007.34 = 7,007.34/x
  3. Step 3: Cross multiply
    4,732.59x = 7,007.34 × 7,007.34
  4. Step 4: Simplify right side
    4,732.59x = 49,102,866.43
  5. Step 5: Solve for x
    x = 49,102,866.43/4,732.59
  6. Step 6: Final answer
    x = 10,375.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.