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Finding the Third Proportional to 17,399.25 and 31,342.50

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Solution

The third proportional to 17,399.25 and 31,342.50 is: 56,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,399.25 : 31,342.50 = 31,342.50 : x
  2. Step 2: Convert to fraction form
    17,399.25/31,342.50 = 31,342.50/x
  3. Step 3: Cross multiply
    17,399.25x = 31,342.50 × 31,342.50
  4. Step 4: Simplify right side
    17,399.25x = 982,352,306.25
  5. Step 5: Solve for x
    x = 982,352,306.25/17,399.25
  6. Step 6: Final answer
    x = 56,459.46

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.