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Finding the Third Proportional to 5,631.75 and 13,281.75

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Solution

The third proportional to 5,631.75 and 13,281.75 is: 31,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.75 : 13,281.75 = 13,281.75 : x
  2. Step 2: Convert to fraction form
    5,631.75/13,281.75 = 13,281.75/x
  3. Step 3: Cross multiply
    5,631.75x = 13,281.75 × 13,281.75
  4. Step 4: Simplify right side
    5,631.75x = 176,404,883.06
  5. Step 5: Solve for x
    x = 176,404,883.06/5,631.75
  6. Step 6: Final answer
    x = 31,323.28

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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.