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Finding the Third Proportional to 6,598 and 7,430

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Solution

The third proportional to 6,598 and 7,430 is: 8,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598 : 7,430 = 7,430 : x
  2. Step 2: Convert to fraction form
    6,598/7,430 = 7,430/x
  3. Step 3: Cross multiply
    6,598x = 7,430 × 7,430
  4. Step 4: Simplify right side
    6,598x = 55,204,900
  5. Step 5: Solve for x
    x = 55,204,900/6,598
  6. Step 6: Final answer
    x = 8,366.91

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.