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Finding the Third Proportional to 7,058 and 7,598

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Solution

The third proportional to 7,058 and 7,598 is: 8,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058 : 7,598 = 7,598 : x
  2. Step 2: Convert to fraction form
    7,058/7,598 = 7,598/x
  3. Step 3: Cross multiply
    7,058x = 7,598 × 7,598
  4. Step 4: Simplify right side
    7,058x = 57,729,604
  5. Step 5: Solve for x
    x = 57,729,604/7,058
  6. Step 6: Final answer
    x = 8,179.31

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.