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Finding the Third Proportional to 21,328 and 44,024

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Solution

The third proportional to 21,328 and 44,024 is: 90,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328 : 44,024 = 44,024 : x
  2. Step 2: Convert to fraction form
    21,328/44,024 = 44,024/x
  3. Step 3: Cross multiply
    21,328x = 44,024 × 44,024
  4. Step 4: Simplify right side
    21,328x = 1,938,112,576
  5. Step 5: Solve for x
    x = 1,938,112,576/21,328
  6. Step 6: Final answer
    x = 90,871.74

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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.