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Finding the Third Proportional to 23,620 and 36,058

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Solution

The third proportional to 23,620 and 36,058 is: 55,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620 : 36,058 = 36,058 : x
  2. Step 2: Convert to fraction form
    23,620/36,058 = 36,058/x
  3. Step 3: Cross multiply
    23,620x = 36,058 × 36,058
  4. Step 4: Simplify right side
    23,620x = 1,300,179,364
  5. Step 5: Solve for x
    x = 1,300,179,364/23,620
  6. Step 6: Final answer
    x = 55,045.70

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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.