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Finding the Third Proportional to 4,666.31 and 9,764.81

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Solution

The third proportional to 4,666.31 and 9,764.81 is: 20,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.31 : 9,764.81 = 9,764.81 : x
  2. Step 2: Convert to fraction form
    4,666.31/9,764.81 = 9,764.81/x
  3. Step 3: Cross multiply
    4,666.31x = 9,764.81 × 9,764.81
  4. Step 4: Simplify right side
    4,666.31x = 95,351,563.16
  5. Step 5: Solve for x
    x = 95,351,563.16/4,666.31
  6. Step 6: Final answer
    x = 20,434.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.