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Finding the Third Proportional to 8,005.50 and 10,703.25

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Solution

The third proportional to 8,005.50 and 10,703.25 is: 14,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.50 : 10,703.25 = 10,703.25 : x
  2. Step 2: Convert to fraction form
    8,005.50/10,703.25 = 10,703.25/x
  3. Step 3: Cross multiply
    8,005.50x = 10,703.25 × 10,703.25
  4. Step 4: Simplify right side
    8,005.50x = 114,559,560.56
  5. Step 5: Solve for x
    x = 114,559,560.56/8,005.50
  6. Step 6: Final answer
    x = 14,310.11

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.