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Finding the Third Proportional to 3,157.73 and 6,929.30

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Solution

The third proportional to 3,157.73 and 6,929.30 is: 15,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.73 : 6,929.30 = 6,929.30 : x
  2. Step 2: Convert to fraction form
    3,157.73/6,929.30 = 6,929.30/x
  3. Step 3: Cross multiply
    3,157.73x = 6,929.30 × 6,929.30
  4. Step 4: Simplify right side
    3,157.73x = 48,015,155.18
  5. Step 5: Solve for x
    x = 48,015,155.18/3,157.73
  6. Step 6: Final answer
    x = 15,205.57

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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.