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Finding the Third Proportional to 975 and 2,058

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Solution

The third proportional to 975 and 2,058 is: 4,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    975 : 2,058 = 2,058 : x
  2. Step 2: Convert to fraction form
    975/2,058 = 2,058/x
  3. Step 3: Cross multiply
    975x = 2,058 × 2,058
  4. Step 4: Simplify right side
    975x = 4,235,364
  5. Step 5: Solve for x
    x = 4,235,364/975
  6. Step 6: Final answer
    x = 4,343.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.