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Finding the Third Proportional to 28,886 and 43,210

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Solution

The third proportional to 28,886 and 43,210 is: 64,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,886 : 43,210 = 43,210 : x
  2. Step 2: Convert to fraction form
    28,886/43,210 = 43,210/x
  3. Step 3: Cross multiply
    28,886x = 43,210 × 43,210
  4. Step 4: Simplify right side
    28,886x = 1,867,104,100
  5. Step 5: Solve for x
    x = 1,867,104,100/28,886
  6. Step 6: Final answer
    x = 64,636.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.