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Finding the Third Proportional to 20,642 and 44,202

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Solution

The third proportional to 20,642 and 44,202 is: 94,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642 : 44,202 = 44,202 : x
  2. Step 2: Convert to fraction form
    20,642/44,202 = 44,202/x
  3. Step 3: Cross multiply
    20,642x = 44,202 × 44,202
  4. Step 4: Simplify right side
    20,642x = 1,953,816,804
  5. Step 5: Solve for x
    x = 1,953,816,804/20,642
  6. Step 6: Final answer
    x = 94,652.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.