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Finding the Third Proportional to 20,058 and 30,597

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Solution

The third proportional to 20,058 and 30,597 is: 46,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 30,597 = 30,597 : x
  2. Step 2: Convert to fraction form
    20,058/30,597 = 30,597/x
  3. Step 3: Cross multiply
    20,058x = 30,597 × 30,597
  4. Step 4: Simplify right side
    20,058x = 936,176,409
  5. Step 5: Solve for x
    x = 936,176,409/20,058
  6. Step 6: Final answer
    x = 46,673.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.