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Finding the Third Proportional to 13,550.63 and 31,927.50

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Solution

The third proportional to 13,550.63 and 31,927.50 is: 75,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,550.63 : 31,927.50 = 31,927.50 : x
  2. Step 2: Convert to fraction form
    13,550.63/31,927.50 = 31,927.50/x
  3. Step 3: Cross multiply
    13,550.63x = 31,927.50 × 31,927.50
  4. Step 4: Simplify right side
    13,550.63x = 1,019,365,256.25
  5. Step 5: Solve for x
    x = 1,019,365,256.25/13,550.63
  6. Step 6: Final answer
    x = 75,226.44

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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.