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Finding the Third Proportional to 4,975.13 and 6,760.88

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Solution

The third proportional to 4,975.13 and 6,760.88 is: 9,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.13 : 6,760.88 = 6,760.88 : x
  2. Step 2: Convert to fraction form
    4,975.13/6,760.88 = 6,760.88/x
  3. Step 3: Cross multiply
    4,975.13x = 6,760.88 × 6,760.88
  4. Step 4: Simplify right side
    4,975.13x = 45,709,430.77
  5. Step 5: Solve for x
    x = 45,709,430.77/4,975.13
  6. Step 6: Final answer
    x = 9,187.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.