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Finding the Third Proportional to 13,461.75 and 31,285.13

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Solution

The third proportional to 13,461.75 and 31,285.13 is: 72,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.75 : 31,285.13 = 31,285.13 : x
  2. Step 2: Convert to fraction form
    13,461.75/31,285.13 = 31,285.13/x
  3. Step 3: Cross multiply
    13,461.75x = 31,285.13 × 31,285.13
  4. Step 4: Simplify right side
    13,461.75x = 978,759,046.27
  5. Step 5: Solve for x
    x = 978,759,046.27/13,461.75
  6. Step 6: Final answer
    x = 72,706.67

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.