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Finding the Third Proportional to 2,346 and 5,473.50

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Solution

The third proportional to 2,346 and 5,473.50 is: 12,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346 : 5,473.50 = 5,473.50 : x
  2. Step 2: Convert to fraction form
    2,346/5,473.50 = 5,473.50/x
  3. Step 3: Cross multiply
    2,346x = 5,473.50 × 5,473.50
  4. Step 4: Simplify right side
    2,346x = 29,959,202.25
  5. Step 5: Solve for x
    x = 29,959,202.25/2,346
  6. Step 6: Final answer
    x = 12,770.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.