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Finding the Third Proportional to 10,085.50 and 13,481

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Solution

The third proportional to 10,085.50 and 13,481 is: 18,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.50 : 13,481 = 13,481 : x
  2. Step 2: Convert to fraction form
    10,085.50/13,481 = 13,481/x
  3. Step 3: Cross multiply
    10,085.50x = 13,481 × 13,481
  4. Step 4: Simplify right side
    10,085.50x = 181,737,361
  5. Step 5: Solve for x
    x = 181,737,361/10,085.50
  6. Step 6: Final answer
    x = 18,019.67

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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.