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Finding the Third Proportional to 2,029.31 and 4,430.81

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Solution

The third proportional to 2,029.31 and 4,430.81 is: 9,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.31 : 4,430.81 = 4,430.81 : x
  2. Step 2: Convert to fraction form
    2,029.31/4,430.81 = 4,430.81/x
  3. Step 3: Cross multiply
    2,029.31x = 4,430.81 × 4,430.81
  4. Step 4: Simplify right side
    2,029.31x = 19,632,099.41
  5. Step 5: Solve for x
    x = 19,632,099.41/2,029.31
  6. Step 6: Final answer
    x = 9,674.26

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Why These Related Problems?

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