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Finding the Third Proportional to 2,050.31 and 2,202.19

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Solution

The third proportional to 2,050.31 and 2,202.19 is: 2,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.31 : 2,202.19 = 2,202.19 : x
  2. Step 2: Convert to fraction form
    2,050.31/2,202.19 = 2,202.19/x
  3. Step 3: Cross multiply
    2,050.31x = 2,202.19 × 2,202.19
  4. Step 4: Simplify right side
    2,050.31x = 4,849,629.79
  5. Step 5: Solve for x
    x = 4,849,629.79/2,050.31
  6. Step 6: Final answer
    x = 2,365.31

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.