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Finding the Third Proportional to 6,785 and 7,433

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Solution

The third proportional to 6,785 and 7,433 is: 8,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785 : 7,433 = 7,433 : x
  2. Step 2: Convert to fraction form
    6,785/7,433 = 7,433/x
  3. Step 3: Cross multiply
    6,785x = 7,433 × 7,433
  4. Step 4: Simplify right side
    6,785x = 55,249,489
  5. Step 5: Solve for x
    x = 55,249,489/6,785
  6. Step 6: Final answer
    x = 8,142.89

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.