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Finding the Third Proportional to 10,647.50 and 16,119

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Solution

The third proportional to 10,647.50 and 16,119 is: 24,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.50 : 16,119 = 16,119 : x
  2. Step 2: Convert to fraction form
    10,647.50/16,119 = 16,119/x
  3. Step 3: Cross multiply
    10,647.50x = 16,119 × 16,119
  4. Step 4: Simplify right side
    10,647.50x = 259,822,161
  5. Step 5: Solve for x
    x = 259,822,161/10,647.50
  6. Step 6: Final answer
    x = 24,402.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.