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Finding the Third Proportional to 5,378.63 and 11,621.81

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Solution

The third proportional to 5,378.63 and 11,621.81 is: 25,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.63 : 11,621.81 = 11,621.81 : x
  2. Step 2: Convert to fraction form
    5,378.63/11,621.81 = 11,621.81/x
  3. Step 3: Cross multiply
    5,378.63x = 11,621.81 × 11,621.81
  4. Step 4: Simplify right side
    5,378.63x = 135,066,525.79
  5. Step 5: Solve for x
    x = 135,066,525.79/5,378.63
  6. Step 6: Final answer
    x = 25,111.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.