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Finding the Third Proportional to 2,010.19 and 4,355.81

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Solution

The third proportional to 2,010.19 and 4,355.81 is: 9,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.19 : 4,355.81 = 4,355.81 : x
  2. Step 2: Convert to fraction form
    2,010.19/4,355.81 = 4,355.81/x
  3. Step 3: Cross multiply
    2,010.19x = 4,355.81 × 4,355.81
  4. Step 4: Simplify right side
    2,010.19x = 18,973,102.54
  5. Step 5: Solve for x
    x = 18,973,102.54/2,010.19
  6. Step 6: Final answer
    x = 9,438.47

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Why These Related Problems?

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