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Finding the Third Proportional to 22,506 and 33,573

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Solution

The third proportional to 22,506 and 33,573 is: 50,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506 : 33,573 = 33,573 : x
  2. Step 2: Convert to fraction form
    22,506/33,573 = 33,573/x
  3. Step 3: Cross multiply
    22,506x = 33,573 × 33,573
  4. Step 4: Simplify right side
    22,506x = 1,127,146,329
  5. Step 5: Solve for x
    x = 1,127,146,329/22,506
  6. Step 6: Final answer
    x = 50,082.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.