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Finding the Third Proportional to 20,772 and 46,740

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Solution

The third proportional to 20,772 and 46,740 is: 105,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772 : 46,740 = 46,740 : x
  2. Step 2: Convert to fraction form
    20,772/46,740 = 46,740/x
  3. Step 3: Cross multiply
    20,772x = 46,740 × 46,740
  4. Step 4: Simplify right side
    20,772x = 2,184,627,600
  5. Step 5: Solve for x
    x = 2,184,627,600/20,772
  6. Step 6: Final answer
    x = 105,171.75

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.