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Finding the Third Proportional to 6,929.16 and 10,383.05

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Solution

The third proportional to 6,929.16 and 10,383.05 is: 15,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.16 : 10,383.05 = 10,383.05 : x
  2. Step 2: Convert to fraction form
    6,929.16/10,383.05 = 10,383.05/x
  3. Step 3: Cross multiply
    6,929.16x = 10,383.05 × 10,383.05
  4. Step 4: Simplify right side
    6,929.16x = 107,807,662.41
  5. Step 5: Solve for x
    x = 107,807,662.41/6,929.16
  6. Step 6: Final answer
    x = 15,558.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.