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Finding the Third Proportional to 5,117.63 and 10,751.25

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Solution

The third proportional to 5,117.63 and 10,751.25 is: 22,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.63 : 10,751.25 = 10,751.25 : x
  2. Step 2: Convert to fraction form
    5,117.63/10,751.25 = 10,751.25/x
  3. Step 3: Cross multiply
    5,117.63x = 10,751.25 × 10,751.25
  4. Step 4: Simplify right side
    5,117.63x = 115,589,376.56
  5. Step 5: Solve for x
    x = 115,589,376.56/5,117.63
  6. Step 6: Final answer
    x = 22,586.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.