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Finding the Third Proportional to 4,991.63 and 7,760.25

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Solution

The third proportional to 4,991.63 and 7,760.25 is: 12,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.63 : 7,760.25 = 7,760.25 : x
  2. Step 2: Convert to fraction form
    4,991.63/7,760.25 = 7,760.25/x
  3. Step 3: Cross multiply
    4,991.63x = 7,760.25 × 7,760.25
  4. Step 4: Simplify right side
    4,991.63x = 60,221,480.06
  5. Step 5: Solve for x
    x = 60,221,480.06/4,991.63
  6. Step 6: Final answer
    x = 12,064.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.