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Finding the Third Proportional to 5,396 and 7,385

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Solution

The third proportional to 5,396 and 7,385 is: 10,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396 : 7,385 = 7,385 : x
  2. Step 2: Convert to fraction form
    5,396/7,385 = 7,385/x
  3. Step 3: Cross multiply
    5,396x = 7,385 × 7,385
  4. Step 4: Simplify right side
    5,396x = 54,538,225
  5. Step 5: Solve for x
    x = 54,538,225/5,396
  6. Step 6: Final answer
    x = 10,107.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.