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Finding the Third Proportional to 2,775.94 and 4,106.53

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Solution

The third proportional to 2,775.94 and 4,106.53 is: 6,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.94 : 4,106.53 = 4,106.53 : x
  2. Step 2: Convert to fraction form
    2,775.94/4,106.53 = 4,106.53/x
  3. Step 3: Cross multiply
    2,775.94x = 4,106.53 × 4,106.53
  4. Step 4: Simplify right side
    2,775.94x = 16,863,598.91
  5. Step 5: Solve for x
    x = 16,863,598.91/2,775.94
  6. Step 6: Final answer
    x = 6,074.92

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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.