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Finding the Third Proportional to 17,590 and 23,873

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Solution

The third proportional to 17,590 and 23,873 is: 32,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,590 : 23,873 = 23,873 : x
  2. Step 2: Convert to fraction form
    17,590/23,873 = 23,873/x
  3. Step 3: Cross multiply
    17,590x = 23,873 × 23,873
  4. Step 4: Simplify right side
    17,590x = 569,920,129
  5. Step 5: Solve for x
    x = 569,920,129/17,590
  6. Step 6: Final answer
    x = 32,400.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.