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Finding the Third Proportional to 7,863 and 10,300.50

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Solution

The third proportional to 7,863 and 10,300.50 is: 13,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863 : 10,300.50 = 10,300.50 : x
  2. Step 2: Convert to fraction form
    7,863/10,300.50 = 10,300.50/x
  3. Step 3: Cross multiply
    7,863x = 10,300.50 × 10,300.50
  4. Step 4: Simplify right side
    7,863x = 106,100,300.25
  5. Step 5: Solve for x
    x = 106,100,300.25/7,863
  6. Step 6: Final answer
    x = 13,493.62

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.