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Finding the Third Proportional to 6,532 and 13,784

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Solution

The third proportional to 6,532 and 13,784 is: 29,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532 : 13,784 = 13,784 : x
  2. Step 2: Convert to fraction form
    6,532/13,784 = 13,784/x
  3. Step 3: Cross multiply
    6,532x = 13,784 × 13,784
  4. Step 4: Simplify right side
    6,532x = 189,998,656
  5. Step 5: Solve for x
    x = 189,998,656/6,532
  6. Step 6: Final answer
    x = 29,087.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.