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Finding the Third Proportional to 19,485 and 27,568.50

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Solution

The third proportional to 19,485 and 27,568.50 is: 39,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,485 : 27,568.50 = 27,568.50 : x
  2. Step 2: Convert to fraction form
    19,485/27,568.50 = 27,568.50/x
  3. Step 3: Cross multiply
    19,485x = 27,568.50 × 27,568.50
  4. Step 4: Simplify right side
    19,485x = 760,022,192.25
  5. Step 5: Solve for x
    x = 760,022,192.25/19,485
  6. Step 6: Final answer
    x = 39,005.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.