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Finding the Third Proportional to 12,477.50 and 19,843

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Solution

The third proportional to 12,477.50 and 19,843 is: 31,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.50 : 19,843 = 19,843 : x
  2. Step 2: Convert to fraction form
    12,477.50/19,843 = 19,843/x
  3. Step 3: Cross multiply
    12,477.50x = 19,843 × 19,843
  4. Step 4: Simplify right side
    12,477.50x = 393,744,649
  5. Step 5: Solve for x
    x = 393,744,649/12,477.50
  6. Step 6: Final answer
    x = 31,556.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.