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Finding the Third Proportional to 20,927 and 45,985

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Solution

The third proportional to 20,927 and 45,985 is: 101,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,927 : 45,985 = 45,985 : x
  2. Step 2: Convert to fraction form
    20,927/45,985 = 45,985/x
  3. Step 3: Cross multiply
    20,927x = 45,985 × 45,985
  4. Step 4: Simplify right side
    20,927x = 2,114,620,225
  5. Step 5: Solve for x
    x = 2,114,620,225/20,927
  6. Step 6: Final answer
    x = 101,047.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.