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Finding the Third Proportional to 3,074.63 and 4,314.38

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Solution

The third proportional to 3,074.63 and 4,314.38 is: 6,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.63 : 4,314.38 = 4,314.38 : x
  2. Step 2: Convert to fraction form
    3,074.63/4,314.38 = 4,314.38/x
  3. Step 3: Cross multiply
    3,074.63x = 4,314.38 × 4,314.38
  4. Step 4: Simplify right side
    3,074.63x = 18,613,831.64
  5. Step 5: Solve for x
    x = 18,613,831.64/3,074.63
  6. Step 6: Final answer
    x = 6,054.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.