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Finding the Third Proportional to 1,902.23 and 4,160.11

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Solution

The third proportional to 1,902.23 and 4,160.11 is: 9,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.23 : 4,160.11 = 4,160.11 : x
  2. Step 2: Convert to fraction form
    1,902.23/4,160.11 = 4,160.11/x
  3. Step 3: Cross multiply
    1,902.23x = 4,160.11 × 4,160.11
  4. Step 4: Simplify right side
    1,902.23x = 17,306,510.01
  5. Step 5: Solve for x
    x = 17,306,510.01/1,902.23
  6. Step 6: Final answer
    x = 9,097.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.