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Finding the Third Proportional to 3,023 and 4,738.50

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Solution

The third proportional to 3,023 and 4,738.50 is: 7,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023 : 4,738.50 = 4,738.50 : x
  2. Step 2: Convert to fraction form
    3,023/4,738.50 = 4,738.50/x
  3. Step 3: Cross multiply
    3,023x = 4,738.50 × 4,738.50
  4. Step 4: Simplify right side
    3,023x = 22,453,382.25
  5. Step 5: Solve for x
    x = 22,453,382.25/3,023
  6. Step 6: Final answer
    x = 7,427.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.