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Finding the Third Proportional to 20,712 and 44,925

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Solution

The third proportional to 20,712 and 44,925 is: 97,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712 : 44,925 = 44,925 : x
  2. Step 2: Convert to fraction form
    20,712/44,925 = 44,925/x
  3. Step 3: Cross multiply
    20,712x = 44,925 × 44,925
  4. Step 4: Simplify right side
    20,712x = 2,018,255,625
  5. Step 5: Solve for x
    x = 2,018,255,625/20,712
  6. Step 6: Final answer
    x = 97,443.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.