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Finding the Third Proportional to 26,737 and 42,052

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Solution

The third proportional to 26,737 and 42,052 is: 66,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,737 : 42,052 = 42,052 : x
  2. Step 2: Convert to fraction form
    26,737/42,052 = 42,052/x
  3. Step 3: Cross multiply
    26,737x = 42,052 × 42,052
  4. Step 4: Simplify right side
    26,737x = 1,768,370,704
  5. Step 5: Solve for x
    x = 1,768,370,704/26,737
  6. Step 6: Final answer
    x = 66,139.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.