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Finding the Third Proportional to 4,156.13 and 9,055.88

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Solution

The third proportional to 4,156.13 and 9,055.88 is: 19,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.13 : 9,055.88 = 9,055.88 : x
  2. Step 2: Convert to fraction form
    4,156.13/9,055.88 = 9,055.88/x
  3. Step 3: Cross multiply
    4,156.13x = 9,055.88 × 9,055.88
  4. Step 4: Simplify right side
    4,156.13x = 82,008,872.02
  5. Step 5: Solve for x
    x = 82,008,872.02/4,156.13
  6. Step 6: Final answer
    x = 19,732.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.