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Finding the Third Proportional to 27,740 and 40,633

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Solution

The third proportional to 27,740 and 40,633 is: 59,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740 : 40,633 = 40,633 : x
  2. Step 2: Convert to fraction form
    27,740/40,633 = 40,633/x
  3. Step 3: Cross multiply
    27,740x = 40,633 × 40,633
  4. Step 4: Simplify right side
    27,740x = 1,651,040,689
  5. Step 5: Solve for x
    x = 1,651,040,689/27,740
  6. Step 6: Final answer
    x = 59,518.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.