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Finding the Third Proportional to 4,442 and 6,814.50

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Solution

The third proportional to 4,442 and 6,814.50 is: 10,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442 : 6,814.50 = 6,814.50 : x
  2. Step 2: Convert to fraction form
    4,442/6,814.50 = 6,814.50/x
  3. Step 3: Cross multiply
    4,442x = 6,814.50 × 6,814.50
  4. Step 4: Simplify right side
    4,442x = 46,437,410.25
  5. Step 5: Solve for x
    x = 46,437,410.25/4,442
  6. Step 6: Final answer
    x = 10,454.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.