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Finding the Third Proportional to 20,834.40 and 46,173.16

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Solution

The third proportional to 20,834.40 and 46,173.16 is: 102,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834.40 : 46,173.16 = 46,173.16 : x
  2. Step 2: Convert to fraction form
    20,834.40/46,173.16 = 46,173.16/x
  3. Step 3: Cross multiply
    20,834.40x = 46,173.16 × 46,173.16
  4. Step 4: Simplify right side
    20,834.40x = 2,131,961,079.54
  5. Step 5: Solve for x
    x = 2,131,961,079.54/20,834.40
  6. Step 6: Final answer
    x = 102,328.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.