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Finding the Third Proportional to 18,603 and 40,546.50

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Solution

The third proportional to 18,603 and 40,546.50 is: 88,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,603 : 40,546.50 = 40,546.50 : x
  2. Step 2: Convert to fraction form
    18,603/40,546.50 = 40,546.50/x
  3. Step 3: Cross multiply
    18,603x = 40,546.50 × 40,546.50
  4. Step 4: Simplify right side
    18,603x = 1,644,018,662.25
  5. Step 5: Solve for x
    x = 1,644,018,662.25/18,603
  6. Step 6: Final answer
    x = 88,373.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.