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Finding the Third Proportional to 26,732 and 56,731

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Solution

The third proportional to 26,732 and 56,731 is: 120,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,732 : 56,731 = 56,731 : x
  2. Step 2: Convert to fraction form
    26,732/56,731 = 56,731/x
  3. Step 3: Cross multiply
    26,732x = 56,731 × 56,731
  4. Step 4: Simplify right side
    26,732x = 3,218,406,361
  5. Step 5: Solve for x
    x = 3,218,406,361/26,732
  6. Step 6: Final answer
    x = 120,395.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.