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Finding the Third Proportional to 14,808 and 31,279.50

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Solution

The third proportional to 14,808 and 31,279.50 is: 66,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808 : 31,279.50 = 31,279.50 : x
  2. Step 2: Convert to fraction form
    14,808/31,279.50 = 31,279.50/x
  3. Step 3: Cross multiply
    14,808x = 31,279.50 × 31,279.50
  4. Step 4: Simplify right side
    14,808x = 978,407,120.25
  5. Step 5: Solve for x
    x = 978,407,120.25/14,808
  6. Step 6: Final answer
    x = 66,072.87

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.