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Finding the Third Proportional to 3,138 and 4,784

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Solution

The third proportional to 3,138 and 4,784 is: 7,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138 : 4,784 = 4,784 : x
  2. Step 2: Convert to fraction form
    3,138/4,784 = 4,784/x
  3. Step 3: Cross multiply
    3,138x = 4,784 × 4,784
  4. Step 4: Simplify right side
    3,138x = 22,886,656
  5. Step 5: Solve for x
    x = 22,886,656/3,138
  6. Step 6: Final answer
    x = 7,293.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.