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Finding the Third Proportional to 28,886 and 43,213

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Solution

The third proportional to 28,886 and 43,213 is: 64,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,886 : 43,213 = 43,213 : x
  2. Step 2: Convert to fraction form
    28,886/43,213 = 43,213/x
  3. Step 3: Cross multiply
    28,886x = 43,213 × 43,213
  4. Step 4: Simplify right side
    28,886x = 1,867,363,369
  5. Step 5: Solve for x
    x = 1,867,363,369/28,886
  6. Step 6: Final answer
    x = 64,645.97

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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.