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Finding the Third Proportional to 21,849.75 and 47,269.13

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Solution

The third proportional to 21,849.75 and 47,269.13 is: 102,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.75 : 47,269.13 = 47,269.13 : x
  2. Step 2: Convert to fraction form
    21,849.75/47,269.13 = 47,269.13/x
  3. Step 3: Cross multiply
    21,849.75x = 47,269.13 × 47,269.13
  4. Step 4: Simplify right side
    21,849.75x = 2,234,370,178.27
  5. Step 5: Solve for x
    x = 2,234,370,178.27/21,849.75
  6. Step 6: Final answer
    x = 102,260.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.