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Finding the Third Proportional to 14,234.48 and 31,795.03

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Solution

The third proportional to 14,234.48 and 31,795.03 is: 71,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.48 : 31,795.03 = 31,795.03 : x
  2. Step 2: Convert to fraction form
    14,234.48/31,795.03 = 31,795.03/x
  3. Step 3: Cross multiply
    14,234.48x = 31,795.03 × 31,795.03
  4. Step 4: Simplify right side
    14,234.48x = 1,010,924,012.19
  5. Step 5: Solve for x
    x = 1,010,924,012.19/14,234.48
  6. Step 6: Final answer
    x = 71,019.36

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.