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Finding the Third Proportional to 2,090.97 and 4,592.00

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Solution

The third proportional to 2,090.97 and 4,592.00 is: 10,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.97 : 4,592.00 = 4,592.00 : x
  2. Step 2: Convert to fraction form
    2,090.97/4,592.00 = 4,592.00/x
  3. Step 3: Cross multiply
    2,090.97x = 4,592.00 × 4,592.00
  4. Step 4: Simplify right side
    2,090.97x = 21,086,499.88
  5. Step 5: Solve for x
    x = 21,086,499.88/2,090.97
  6. Step 6: Final answer
    x = 10,084.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.