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Finding the Third Proportional to 7,270 and 13,784

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Solution

The third proportional to 7,270 and 13,784 is: 26,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270 : 13,784 = 13,784 : x
  2. Step 2: Convert to fraction form
    7,270/13,784 = 13,784/x
  3. Step 3: Cross multiply
    7,270x = 13,784 × 13,784
  4. Step 4: Simplify right side
    7,270x = 189,998,656
  5. Step 5: Solve for x
    x = 189,998,656/7,270
  6. Step 6: Final answer
    x = 26,134.62

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.