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Finding the Third Proportional to 7,261.50 and 13,899.75

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Solution

The third proportional to 7,261.50 and 13,899.75 is: 26,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.50 : 13,899.75 = 13,899.75 : x
  2. Step 2: Convert to fraction form
    7,261.50/13,899.75 = 13,899.75/x
  3. Step 3: Cross multiply
    7,261.50x = 13,899.75 × 13,899.75
  4. Step 4: Simplify right side
    7,261.50x = 193,203,050.06
  5. Step 5: Solve for x
    x = 193,203,050.06/7,261.50
  6. Step 6: Final answer
    x = 26,606.49

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.