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Finding the Third Proportional to 20,740 and 44,828

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Solution

The third proportional to 20,740 and 44,828 is: 96,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,740 : 44,828 = 44,828 : x
  2. Step 2: Convert to fraction form
    20,740/44,828 = 44,828/x
  3. Step 3: Cross multiply
    20,740x = 44,828 × 44,828
  4. Step 4: Simplify right side
    20,740x = 2,009,549,584
  5. Step 5: Solve for x
    x = 2,009,549,584/20,740
  6. Step 6: Final answer
    x = 96,892.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.