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Finding the Third Proportional to 4,734.98 and 7,010.86

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Solution

The third proportional to 4,734.98 and 7,010.86 is: 10,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.98 : 7,010.86 = 7,010.86 : x
  2. Step 2: Convert to fraction form
    4,734.98/7,010.86 = 7,010.86/x
  3. Step 3: Cross multiply
    4,734.98x = 7,010.86 × 7,010.86
  4. Step 4: Simplify right side
    4,734.98x = 49,152,149.18
  5. Step 5: Solve for x
    x = 49,152,149.18/4,734.98
  6. Step 6: Final answer
    x = 10,380.64

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