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Finding the Third Proportional to 3,094.88 and 4,574.06

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Solution

The third proportional to 3,094.88 and 4,574.06 is: 6,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.88 : 4,574.06 = 4,574.06 : x
  2. Step 2: Convert to fraction form
    3,094.88/4,574.06 = 4,574.06/x
  3. Step 3: Cross multiply
    3,094.88x = 4,574.06 × 4,574.06
  4. Step 4: Simplify right side
    3,094.88x = 20,922,047.75
  5. Step 5: Solve for x
    x = 20,922,047.75/3,094.88
  6. Step 6: Final answer
    x = 6,760.22

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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.