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Finding the Third Proportional to 6,430 and 7,102

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Solution

The third proportional to 6,430 and 7,102 is: 7,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430 : 7,102 = 7,102 : x
  2. Step 2: Convert to fraction form
    6,430/7,102 = 7,102/x
  3. Step 3: Cross multiply
    6,430x = 7,102 × 7,102
  4. Step 4: Simplify right side
    6,430x = 50,438,404
  5. Step 5: Solve for x
    x = 50,438,404/6,430
  6. Step 6: Final answer
    x = 7,844.23

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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.