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Finding the Third Proportional to 7,902 and 17,049.25

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Solution

The third proportional to 7,902 and 17,049.25 is: 36,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902 : 17,049.25 = 17,049.25 : x
  2. Step 2: Convert to fraction form
    7,902/17,049.25 = 17,049.25/x
  3. Step 3: Cross multiply
    7,902x = 17,049.25 × 17,049.25
  4. Step 4: Simplify right side
    7,902x = 290,676,925.56
  5. Step 5: Solve for x
    x = 290,676,925.56/7,902
  6. Step 6: Final answer
    x = 36,785.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.