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Finding the Third Proportional to 20,712 and 44,272

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Solution

The third proportional to 20,712 and 44,272 is: 94,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712 : 44,272 = 44,272 : x
  2. Step 2: Convert to fraction form
    20,712/44,272 = 44,272/x
  3. Step 3: Cross multiply
    20,712x = 44,272 × 44,272
  4. Step 4: Simplify right side
    20,712x = 1,960,009,984
  5. Step 5: Solve for x
    x = 1,960,009,984/20,712
  6. Step 6: Final answer
    x = 94,631.61

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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.