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Finding the Third Proportional to 11,175.75 and 14,901.75

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Solution

The third proportional to 11,175.75 and 14,901.75 is: 19,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.75 : 14,901.75 = 14,901.75 : x
  2. Step 2: Convert to fraction form
    11,175.75/14,901.75 = 14,901.75/x
  3. Step 3: Cross multiply
    11,175.75x = 14,901.75 × 14,901.75
  4. Step 4: Simplify right side
    11,175.75x = 222,062,153.06
  5. Step 5: Solve for x
    x = 222,062,153.06/11,175.75
  6. Step 6: Final answer
    x = 19,870.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.