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Finding the Third Proportional to 6,500 and 11,740

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Solution

The third proportional to 6,500 and 11,740 is: 21,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 11,740 = 11,740 : x
  2. Step 2: Convert to fraction form
    6,500/11,740 = 11,740/x
  3. Step 3: Cross multiply
    6,500x = 11,740 × 11,740
  4. Step 4: Simplify right side
    6,500x = 137,827,600
  5. Step 5: Solve for x
    x = 137,827,600/6,500
  6. Step 6: Final answer
    x = 21,204.25

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.