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Finding the Third Proportional to 4,786.88 and 7,151.63

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Solution

The third proportional to 4,786.88 and 7,151.63 is: 10,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.88 : 7,151.63 = 7,151.63 : x
  2. Step 2: Convert to fraction form
    4,786.88/7,151.63 = 7,151.63/x
  3. Step 3: Cross multiply
    4,786.88x = 7,151.63 × 7,151.63
  4. Step 4: Simplify right side
    4,786.88x = 51,145,740.14
  5. Step 5: Solve for x
    x = 51,145,740.14/4,786.88
  6. Step 6: Final answer
    x = 10,684.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.