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Finding the Third Proportional to 20,534 and 29,364

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Solution

The third proportional to 20,534 and 29,364 is: 41,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534 : 29,364 = 29,364 : x
  2. Step 2: Convert to fraction form
    20,534/29,364 = 29,364/x
  3. Step 3: Cross multiply
    20,534x = 29,364 × 29,364
  4. Step 4: Simplify right side
    20,534x = 862,244,496
  5. Step 5: Solve for x
    x = 862,244,496/20,534
  6. Step 6: Final answer
    x = 41,991.06

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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.