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Finding the Third Proportional to 5,378 and 7,574

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Solution

The third proportional to 5,378 and 7,574 is: 10,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 7,574 = 7,574 : x
  2. Step 2: Convert to fraction form
    5,378/7,574 = 7,574/x
  3. Step 3: Cross multiply
    5,378x = 7,574 × 7,574
  4. Step 4: Simplify right side
    5,378x = 57,365,476
  5. Step 5: Solve for x
    x = 57,365,476/5,378
  6. Step 6: Final answer
    x = 10,666.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.