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Finding the Third Proportional to 4,626 and 5,058

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Solution

The third proportional to 4,626 and 5,058 is: 5,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626 : 5,058 = 5,058 : x
  2. Step 2: Convert to fraction form
    4,626/5,058 = 5,058/x
  3. Step 3: Cross multiply
    4,626x = 5,058 × 5,058
  4. Step 4: Simplify right side
    4,626x = 25,583,364
  5. Step 5: Solve for x
    x = 25,583,364/4,626
  6. Step 6: Final answer
    x = 5,530.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.