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Finding the Third Proportional to 2,684.63 and 4,106.63

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Solution

The third proportional to 2,684.63 and 4,106.63 is: 6,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.63 : 4,106.63 = 4,106.63 : x
  2. Step 2: Convert to fraction form
    2,684.63/4,106.63 = 4,106.63/x
  3. Step 3: Cross multiply
    2,684.63x = 4,106.63 × 4,106.63
  4. Step 4: Simplify right side
    2,684.63x = 16,864,368.89
  5. Step 5: Solve for x
    x = 16,864,368.89/2,684.63
  6. Step 6: Final answer
    x = 6,281.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.