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Finding the Third Proportional to 17,829.25 and 27,607.88

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Solution

The third proportional to 17,829.25 and 27,607.88 is: 42,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.25 : 27,607.88 = 27,607.88 : x
  2. Step 2: Convert to fraction form
    17,829.25/27,607.88 = 27,607.88/x
  3. Step 3: Cross multiply
    17,829.25x = 27,607.88 × 27,607.88
  4. Step 4: Simplify right side
    17,829.25x = 762,194,762.02
  5. Step 5: Solve for x
    x = 762,194,762.02/17,829.25
  6. Step 6: Final answer
    x = 42,749.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.