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Finding the Third Proportional to 2,050.31 and 4,539.80

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Solution

The third proportional to 2,050.31 and 4,539.80 is: 10,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.31 : 4,539.80 = 4,539.80 : x
  2. Step 2: Convert to fraction form
    2,050.31/4,539.80 = 4,539.80/x
  3. Step 3: Cross multiply
    2,050.31x = 4,539.80 × 4,539.80
  4. Step 4: Simplify right side
    2,050.31x = 20,609,755.67
  5. Step 5: Solve for x
    x = 20,609,755.67/2,050.31
  6. Step 6: Final answer
    x = 10,052.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.