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Finding the Third Proportional to 4,703.06 and 7,052.91

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Solution

The third proportional to 4,703.06 and 7,052.91 is: 10,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.06 : 7,052.91 = 7,052.91 : x
  2. Step 2: Convert to fraction form
    4,703.06/7,052.91 = 7,052.91/x
  3. Step 3: Cross multiply
    4,703.06x = 7,052.91 × 7,052.91
  4. Step 4: Simplify right side
    4,703.06x = 49,743,486.57
  5. Step 5: Solve for x
    x = 49,743,486.57/4,703.06
  6. Step 6: Final answer
    x = 10,576.83

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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.