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Finding the Third Proportional to 8,073 and 10,766.25

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Solution

The third proportional to 8,073 and 10,766.25 is: 14,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073 : 10,766.25 = 10,766.25 : x
  2. Step 2: Convert to fraction form
    8,073/10,766.25 = 10,766.25/x
  3. Step 3: Cross multiply
    8,073x = 10,766.25 × 10,766.25
  4. Step 4: Simplify right side
    8,073x = 115,912,139.06
  5. Step 5: Solve for x
    x = 115,912,139.06/8,073
  6. Step 6: Final answer
    x = 14,358.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.