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Finding the Third Proportional to 5,374.50 and 11,783

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Solution

The third proportional to 5,374.50 and 11,783 is: 25,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.50 : 11,783 = 11,783 : x
  2. Step 2: Convert to fraction form
    5,374.50/11,783 = 11,783/x
  3. Step 3: Cross multiply
    5,374.50x = 11,783 × 11,783
  4. Step 4: Simplify right side
    5,374.50x = 138,839,089
  5. Step 5: Solve for x
    x = 138,839,089/5,374.50
  6. Step 6: Final answer
    x = 25,832.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.