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Finding the Third Proportional to 10,773.50 and 16,095

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Solution

The third proportional to 10,773.50 and 16,095 is: 24,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.50 : 16,095 = 16,095 : x
  2. Step 2: Convert to fraction form
    10,773.50/16,095 = 16,095/x
  3. Step 3: Cross multiply
    10,773.50x = 16,095 × 16,095
  4. Step 4: Simplify right side
    10,773.50x = 259,049,025
  5. Step 5: Solve for x
    x = 259,049,025/10,773.50
  6. Step 6: Final answer
    x = 24,045.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.