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Finding the Third Proportional to 3,107.74 and 4,600.55

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Solution

The third proportional to 3,107.74 and 4,600.55 is: 6,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.74 : 4,600.55 = 4,600.55 : x
  2. Step 2: Convert to fraction form
    3,107.74/4,600.55 = 4,600.55/x
  3. Step 3: Cross multiply
    3,107.74x = 4,600.55 × 4,600.55
  4. Step 4: Simplify right side
    3,107.74x = 21,165,031.55
  5. Step 5: Solve for x
    x = 21,165,031.55/3,107.74
  6. Step 6: Final answer
    x = 6,810.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.