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Finding the Third Proportional to 4,262.91 and 9,254.53

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Solution

The third proportional to 4,262.91 and 9,254.53 is: 20,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.91 : 9,254.53 = 9,254.53 : x
  2. Step 2: Convert to fraction form
    4,262.91/9,254.53 = 9,254.53/x
  3. Step 3: Cross multiply
    4,262.91x = 9,254.53 × 9,254.53
  4. Step 4: Simplify right side
    4,262.91x = 85,646,348.66
  5. Step 5: Solve for x
    x = 85,646,348.66/4,262.91
  6. Step 6: Final answer
    x = 20,091.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.