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Finding the Third Proportional to 28,178 and 43,608.50

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Solution

The third proportional to 28,178 and 43,608.50 is: 67,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178 : 43,608.50 = 43,608.50 : x
  2. Step 2: Convert to fraction form
    28,178/43,608.50 = 43,608.50/x
  3. Step 3: Cross multiply
    28,178x = 43,608.50 × 43,608.50
  4. Step 4: Simplify right side
    28,178x = 1,901,701,272.25
  5. Step 5: Solve for x
    x = 1,901,701,272.25/28,178
  6. Step 6: Final answer
    x = 67,488.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.