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Finding the Third Proportional to 28,342.50 and 43,077

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Solution

The third proportional to 28,342.50 and 43,077 is: 65,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,342.50 : 43,077 = 43,077 : x
  2. Step 2: Convert to fraction form
    28,342.50/43,077 = 43,077/x
  3. Step 3: Cross multiply
    28,342.50x = 43,077 × 43,077
  4. Step 4: Simplify right side
    28,342.50x = 1,855,627,929
  5. Step 5: Solve for x
    x = 1,855,627,929/28,342.50
  6. Step 6: Final answer
    x = 65,471.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.