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Finding the Third Proportional to 7,094.25 and 10,383.19

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Solution

The third proportional to 7,094.25 and 10,383.19 is: 15,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.25 : 10,383.19 = 10,383.19 : x
  2. Step 2: Convert to fraction form
    7,094.25/10,383.19 = 10,383.19/x
  3. Step 3: Cross multiply
    7,094.25x = 10,383.19 × 10,383.19
  4. Step 4: Simplify right side
    7,094.25x = 107,810,582.66
  5. Step 5: Solve for x
    x = 107,810,582.66/7,094.25
  6. Step 6: Final answer
    x = 15,196.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.