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Finding the Third Proportional to 21,052 and 33,082

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Solution

The third proportional to 21,052 and 33,082 is: 51,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052 : 33,082 = 33,082 : x
  2. Step 2: Convert to fraction form
    21,052/33,082 = 33,082/x
  3. Step 3: Cross multiply
    21,052x = 33,082 × 33,082
  4. Step 4: Simplify right side
    21,052x = 1,094,418,724
  5. Step 5: Solve for x
    x = 1,094,418,724/21,052
  6. Step 6: Final answer
    x = 51,986.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.