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Finding the Third Proportional to 13,412.25 and 31,603.50

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Solution

The third proportional to 13,412.25 and 31,603.50 is: 74,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.25 : 31,603.50 = 31,603.50 : x
  2. Step 2: Convert to fraction form
    13,412.25/31,603.50 = 31,603.50/x
  3. Step 3: Cross multiply
    13,412.25x = 31,603.50 × 31,603.50
  4. Step 4: Simplify right side
    13,412.25x = 998,781,212.25
  5. Step 5: Solve for x
    x = 998,781,212.25/13,412.25
  6. Step 6: Final answer
    x = 74,467.83

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.