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Finding the Third Proportional to 20,804 and 45,472

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Solution

The third proportional to 20,804 and 45,472 is: 99,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804 : 45,472 = 45,472 : x
  2. Step 2: Convert to fraction form
    20,804/45,472 = 45,472/x
  3. Step 3: Cross multiply
    20,804x = 45,472 × 45,472
  4. Step 4: Simplify right side
    20,804x = 2,067,702,784
  5. Step 5: Solve for x
    x = 2,067,702,784/20,804
  6. Step 6: Final answer
    x = 99,389.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.