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Finding the Third Proportional to 4,778.37 and 7,010.93

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Solution

The third proportional to 4,778.37 and 7,010.93 is: 10,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.37 : 7,010.93 = 7,010.93 : x
  2. Step 2: Convert to fraction form
    4,778.37/7,010.93 = 7,010.93/x
  3. Step 3: Cross multiply
    4,778.37x = 7,010.93 × 7,010.93
  4. Step 4: Simplify right side
    4,778.37x = 49,153,135.08
  5. Step 5: Solve for x
    x = 49,153,135.08/4,778.37
  6. Step 6: Final answer
    x = 10,286.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.