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Finding the Third Proportional to 2,938.22 and 6,336.84

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Solution

The third proportional to 2,938.22 and 6,336.84 is: 13,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.22 : 6,336.84 = 6,336.84 : x
  2. Step 2: Convert to fraction form
    2,938.22/6,336.84 = 6,336.84/x
  3. Step 3: Cross multiply
    2,938.22x = 6,336.84 × 6,336.84
  4. Step 4: Simplify right side
    2,938.22x = 40,155,588.71
  5. Step 5: Solve for x
    x = 40,155,588.71/2,938.22
  6. Step 6: Final answer
    x = 13,666.64

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Why These Related Problems?

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