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Finding the Third Proportional to 4,590 and 10,671

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Solution

The third proportional to 4,590 and 10,671 is: 24,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 10,671 = 10,671 : x
  2. Step 2: Convert to fraction form
    4,590/10,671 = 10,671/x
  3. Step 3: Cross multiply
    4,590x = 10,671 × 10,671
  4. Step 4: Simplify right side
    4,590x = 113,870,241
  5. Step 5: Solve for x
    x = 113,870,241/4,590
  6. Step 6: Final answer
    x = 24,808.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.