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Finding the Third Proportional to 21,024 and 43,236

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Solution

The third proportional to 21,024 and 43,236 is: 88,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024 : 43,236 = 43,236 : x
  2. Step 2: Convert to fraction form
    21,024/43,236 = 43,236/x
  3. Step 3: Cross multiply
    21,024x = 43,236 × 43,236
  4. Step 4: Simplify right side
    21,024x = 1,869,351,696
  5. Step 5: Solve for x
    x = 1,869,351,696/21,024
  6. Step 6: Final answer
    x = 88,915.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.