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Finding the Third Proportional to 7,859.53 and 12,267.70

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Solution

The third proportional to 7,859.53 and 12,267.70 is: 19,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.53 : 12,267.70 = 12,267.70 : x
  2. Step 2: Convert to fraction form
    7,859.53/12,267.70 = 12,267.70/x
  3. Step 3: Cross multiply
    7,859.53x = 12,267.70 × 12,267.70
  4. Step 4: Simplify right side
    7,859.53x = 150,496,539.96
  5. Step 5: Solve for x
    x = 150,496,539.96/7,859.53
  6. Step 6: Final answer
    x = 19,148.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.