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Finding the Third Proportional to 2,373.21 and 5,494.16

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Solution

The third proportional to 2,373.21 and 5,494.16 is: 12,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.21 : 5,494.16 = 5,494.16 : x
  2. Step 2: Convert to fraction form
    2,373.21/5,494.16 = 5,494.16/x
  3. Step 3: Cross multiply
    2,373.21x = 5,494.16 × 5,494.16
  4. Step 4: Simplify right side
    2,373.21x = 30,185,763.63
  5. Step 5: Solve for x
    x = 30,185,763.63/2,373.21
  6. Step 6: Final answer
    x = 12,719.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.