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Finding the Third Proportional to 2,604.66 and 4,116.66

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Solution

The third proportional to 2,604.66 and 4,116.66 is: 6,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.66 : 4,116.66 = 4,116.66 : x
  2. Step 2: Convert to fraction form
    2,604.66/4,116.66 = 4,116.66/x
  3. Step 3: Cross multiply
    2,604.66x = 4,116.66 × 4,116.66
  4. Step 4: Simplify right side
    2,604.66x = 16,946,858.68
  5. Step 5: Solve for x
    x = 16,946,858.68/2,604.66
  6. Step 6: Final answer
    x = 6,506.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.