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Finding the Third Proportional to 20,142 and 44,272

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Solution

The third proportional to 20,142 and 44,272 is: 97,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 44,272 = 44,272 : x
  2. Step 2: Convert to fraction form
    20,142/44,272 = 44,272/x
  3. Step 3: Cross multiply
    20,142x = 44,272 × 44,272
  4. Step 4: Simplify right side
    20,142x = 1,960,009,984
  5. Step 5: Solve for x
    x = 1,960,009,984/20,142
  6. Step 6: Final answer
    x = 97,309.60

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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.