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Finding the Third Proportional to 20,563.88 and 46,447.17

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Solution

The third proportional to 20,563.88 and 46,447.17 is: 104,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.88 : 46,447.17 = 46,447.17 : x
  2. Step 2: Convert to fraction form
    20,563.88/46,447.17 = 46,447.17/x
  3. Step 3: Cross multiply
    20,563.88x = 46,447.17 × 46,447.17
  4. Step 4: Simplify right side
    20,563.88x = 2,157,339,775.19
  5. Step 5: Solve for x
    x = 2,157,339,775.19/20,563.88
  6. Step 6: Final answer
    x = 104,909.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.