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Finding the Third Proportional to 26,132 and 56,638

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Solution

The third proportional to 26,132 and 56,638 is: 122,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,132 : 56,638 = 56,638 : x
  2. Step 2: Convert to fraction form
    26,132/56,638 = 56,638/x
  3. Step 3: Cross multiply
    26,132x = 56,638 × 56,638
  4. Step 4: Simplify right side
    26,132x = 3,207,863,044
  5. Step 5: Solve for x
    x = 3,207,863,044/26,132
  6. Step 6: Final answer
    x = 122,756.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.