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Finding the Third Proportional to 28,742 and 42,936

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Solution

The third proportional to 28,742 and 42,936 is: 64,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,742 : 42,936 = 42,936 : x
  2. Step 2: Convert to fraction form
    28,742/42,936 = 42,936/x
  3. Step 3: Cross multiply
    28,742x = 42,936 × 42,936
  4. Step 4: Simplify right side
    28,742x = 1,843,500,096
  5. Step 5: Solve for x
    x = 1,843,500,096/28,742
  6. Step 6: Final answer
    x = 64,139.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.