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Finding the Third Proportional to 2,941.88 and 6,419.63

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Solution

The third proportional to 2,941.88 and 6,419.63 is: 14,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.88 : 6,419.63 = 6,419.63 : x
  2. Step 2: Convert to fraction form
    2,941.88/6,419.63 = 6,419.63/x
  3. Step 3: Cross multiply
    2,941.88x = 6,419.63 × 6,419.63
  4. Step 4: Simplify right side
    2,941.88x = 41,211,585.14
  5. Step 5: Solve for x
    x = 41,211,585.14/2,941.88
  6. Step 6: Final answer
    x = 14,008.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.