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Finding the Third Proportional to 20,532 and 29,361

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Solution

The third proportional to 20,532 and 29,361 is: 41,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532 : 29,361 = 29,361 : x
  2. Step 2: Convert to fraction form
    20,532/29,361 = 29,361/x
  3. Step 3: Cross multiply
    20,532x = 29,361 × 29,361
  4. Step 4: Simplify right side
    20,532x = 862,068,321
  5. Step 5: Solve for x
    x = 862,068,321/20,532
  6. Step 6: Final answer
    x = 41,986.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.