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Finding the Third Proportional to 17,522 and 23,608.50

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Solution

The third proportional to 17,522 and 23,608.50 is: 31,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522 : 23,608.50 = 23,608.50 : x
  2. Step 2: Convert to fraction form
    17,522/23,608.50 = 23,608.50/x
  3. Step 3: Cross multiply
    17,522x = 23,608.50 × 23,608.50
  4. Step 4: Simplify right side
    17,522x = 557,361,272.25
  5. Step 5: Solve for x
    x = 557,361,272.25/17,522
  6. Step 6: Final answer
    x = 31,809.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.