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Finding the Third Proportional to 17,782.13 and 26,627.63

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Solution

The third proportional to 17,782.13 and 26,627.63 is: 39,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.13 : 26,627.63 = 26,627.63 : x
  2. Step 2: Convert to fraction form
    17,782.13/26,627.63 = 26,627.63/x
  3. Step 3: Cross multiply
    17,782.13x = 26,627.63 × 26,627.63
  4. Step 4: Simplify right side
    17,782.13x = 709,030,413.14
  5. Step 5: Solve for x
    x = 709,030,413.14/17,782.13
  6. Step 6: Final answer
    x = 39,873.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.