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Finding the Third Proportional to 20,314 and 44,588

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Solution

The third proportional to 20,314 and 44,588 is: 97,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314 : 44,588 = 44,588 : x
  2. Step 2: Convert to fraction form
    20,314/44,588 = 44,588/x
  3. Step 3: Cross multiply
    20,314x = 44,588 × 44,588
  4. Step 4: Simplify right side
    20,314x = 1,988,089,744
  5. Step 5: Solve for x
    x = 1,988,089,744/20,314
  6. Step 6: Final answer
    x = 97,867.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.