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Finding the Third Proportional to 22,541 and 42,262

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Solution

The third proportional to 22,541 and 42,262 is: 79,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541 : 42,262 = 42,262 : x
  2. Step 2: Convert to fraction form
    22,541/42,262 = 42,262/x
  3. Step 3: Cross multiply
    22,541x = 42,262 × 42,262
  4. Step 4: Simplify right side
    22,541x = 1,786,076,644
  5. Step 5: Solve for x
    x = 1,786,076,644/22,541
  6. Step 6: Final answer
    x = 79,236.80

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.