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Finding the Third Proportional to 11,849.50 and 17,756.25

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Solution

The third proportional to 11,849.50 and 17,756.25 is: 26,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.50 : 17,756.25 = 17,756.25 : x
  2. Step 2: Convert to fraction form
    11,849.50/17,756.25 = 17,756.25/x
  3. Step 3: Cross multiply
    11,849.50x = 17,756.25 × 17,756.25
  4. Step 4: Simplify right side
    11,849.50x = 315,284,414.06
  5. Step 5: Solve for x
    x = 315,284,414.06/11,849.50
  6. Step 6: Final answer
    x = 26,607.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.