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Finding the Third Proportional to 17,523 and 27,202.50

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Solution

The third proportional to 17,523 and 27,202.50 is: 42,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523 : 27,202.50 = 27,202.50 : x
  2. Step 2: Convert to fraction form
    17,523/27,202.50 = 27,202.50/x
  3. Step 3: Cross multiply
    17,523x = 27,202.50 × 27,202.50
  4. Step 4: Simplify right side
    17,523x = 739,976,006.25
  5. Step 5: Solve for x
    x = 739,976,006.25/17,523
  6. Step 6: Final answer
    x = 42,228.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.