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Finding the Third Proportional to 4,706.44 and 7,060.92

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Solution

The third proportional to 4,706.44 and 7,060.92 is: 10,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.44 : 7,060.92 = 7,060.92 : x
  2. Step 2: Convert to fraction form
    4,706.44/7,060.92 = 7,060.92/x
  3. Step 3: Cross multiply
    4,706.44x = 7,060.92 × 7,060.92
  4. Step 4: Simplify right side
    4,706.44x = 49,856,617.72
  5. Step 5: Solve for x
    x = 49,856,617.72/4,706.44
  6. Step 6: Final answer
    x = 10,593.28

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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.