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Finding the Third Proportional to 15,589 and 23,633

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Solution

The third proportional to 15,589 and 23,633 is: 35,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589 : 23,633 = 23,633 : x
  2. Step 2: Convert to fraction form
    15,589/23,633 = 23,633/x
  3. Step 3: Cross multiply
    15,589x = 23,633 × 23,633
  4. Step 4: Simplify right side
    15,589x = 558,518,689
  5. Step 5: Solve for x
    x = 558,518,689/15,589
  6. Step 6: Final answer
    x = 35,827.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.