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Finding the Third Proportional to 4,083 and 5,338.50

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Solution

The third proportional to 4,083 and 5,338.50 is: 6,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083 : 5,338.50 = 5,338.50 : x
  2. Step 2: Convert to fraction form
    4,083/5,338.50 = 5,338.50/x
  3. Step 3: Cross multiply
    4,083x = 5,338.50 × 5,338.50
  4. Step 4: Simplify right side
    4,083x = 28,499,582.25
  5. Step 5: Solve for x
    x = 28,499,582.25/4,083
  6. Step 6: Final answer
    x = 6,980.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.