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Finding the Third Proportional to 4,505.91 and 9,889.31

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Solution

The third proportional to 4,505.91 and 9,889.31 is: 21,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.91 : 9,889.31 = 9,889.31 : x
  2. Step 2: Convert to fraction form
    4,505.91/9,889.31 = 9,889.31/x
  3. Step 3: Cross multiply
    4,505.91x = 9,889.31 × 9,889.31
  4. Step 4: Simplify right side
    4,505.91x = 97,798,501.72
  5. Step 5: Solve for x
    x = 97,798,501.72/4,505.91
  6. Step 6: Final answer
    x = 21,704.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.