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Finding the Third Proportional to 20,058 and 30,085.50

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Solution

The third proportional to 20,058 and 30,085.50 is: 45,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 30,085.50 = 30,085.50 : x
  2. Step 2: Convert to fraction form
    20,058/30,085.50 = 30,085.50/x
  3. Step 3: Cross multiply
    20,058x = 30,085.50 × 30,085.50
  4. Step 4: Simplify right side
    20,058x = 905,137,310.25
  5. Step 5: Solve for x
    x = 905,137,310.25/20,058
  6. Step 6: Final answer
    x = 45,126.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.