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Finding the Third Proportional to 4,734.70 and 7,010.30

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Solution

The third proportional to 4,734.70 and 7,010.30 is: 10,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.70 : 7,010.30 = 7,010.30 : x
  2. Step 2: Convert to fraction form
    4,734.70/7,010.30 = 7,010.30/x
  3. Step 3: Cross multiply
    4,734.70x = 7,010.30 × 7,010.30
  4. Step 4: Simplify right side
    4,734.70x = 49,144,262.28
  5. Step 5: Solve for x
    x = 49,144,262.28/4,734.70
  6. Step 6: Final answer
    x = 10,379.59

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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.