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Finding the Third Proportional to 10,804.50 and 13,804.75

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Solution

The third proportional to 10,804.50 and 13,804.75 is: 17,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.50 : 13,804.75 = 13,804.75 : x
  2. Step 2: Convert to fraction form
    10,804.50/13,804.75 = 13,804.75/x
  3. Step 3: Cross multiply
    10,804.50x = 13,804.75 × 13,804.75
  4. Step 4: Simplify right side
    10,804.50x = 190,571,122.56
  5. Step 5: Solve for x
    x = 190,571,122.56/10,804.50
  6. Step 6: Final answer
    x = 17,638.13

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.