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Finding the Third Proportional to 2,108.06 and 4,539.94

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Solution

The third proportional to 2,108.06 and 4,539.94 is: 9,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.06 : 4,539.94 = 4,539.94 : x
  2. Step 2: Convert to fraction form
    2,108.06/4,539.94 = 4,539.94/x
  3. Step 3: Cross multiply
    2,108.06x = 4,539.94 × 4,539.94
  4. Step 4: Simplify right side
    2,108.06x = 20,611,032.50
  5. Step 5: Solve for x
    x = 20,611,032.50/2,108.06
  6. Step 6: Final answer
    x = 9,777.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.