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Finding the Third Proportional to 28,706 and 43,059

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Solution

The third proportional to 28,706 and 43,059 is: 64,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,706 : 43,059 = 43,059 : x
  2. Step 2: Convert to fraction form
    28,706/43,059 = 43,059/x
  3. Step 3: Cross multiply
    28,706x = 43,059 × 43,059
  4. Step 4: Simplify right side
    28,706x = 1,854,077,481
  5. Step 5: Solve for x
    x = 1,854,077,481/28,706
  6. Step 6: Final answer
    x = 64,588.50

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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.