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Finding the Third Proportional to 17,289 and 23,773.50

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Solution

The third proportional to 17,289 and 23,773.50 is: 32,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289 : 23,773.50 = 23,773.50 : x
  2. Step 2: Convert to fraction form
    17,289/23,773.50 = 23,773.50/x
  3. Step 3: Cross multiply
    17,289x = 23,773.50 × 23,773.50
  4. Step 4: Simplify right side
    17,289x = 565,179,302.25
  5. Step 5: Solve for x
    x = 565,179,302.25/17,289
  6. Step 6: Final answer
    x = 32,690.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.