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Finding the Third Proportional to 4,639 and 10,314.50

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Solution

The third proportional to 4,639 and 10,314.50 is: 22,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639 : 10,314.50 = 10,314.50 : x
  2. Step 2: Convert to fraction form
    4,639/10,314.50 = 10,314.50/x
  3. Step 3: Cross multiply
    4,639x = 10,314.50 × 10,314.50
  4. Step 4: Simplify right side
    4,639x = 106,388,910.25
  5. Step 5: Solve for x
    x = 106,388,910.25/4,639
  6. Step 6: Final answer
    x = 22,933.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.