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Finding the Third Proportional to 20,025 and 46,356.75

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Solution

The third proportional to 20,025 and 46,356.75 is: 107,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,025 : 46,356.75 = 46,356.75 : x
  2. Step 2: Convert to fraction form
    20,025/46,356.75 = 46,356.75/x
  3. Step 3: Cross multiply
    20,025x = 46,356.75 × 46,356.75
  4. Step 4: Simplify right side
    20,025x = 2,148,948,270.56
  5. Step 5: Solve for x
    x = 2,148,948,270.56/20,025
  6. Step 6: Final answer
    x = 107,313.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.