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Finding the Third Proportional to 18,051 and 24,589.50

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Solution

The third proportional to 18,051 and 24,589.50 is: 33,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,051 : 24,589.50 = 24,589.50 : x
  2. Step 2: Convert to fraction form
    18,051/24,589.50 = 24,589.50/x
  3. Step 3: Cross multiply
    18,051x = 24,589.50 × 24,589.50
  4. Step 4: Simplify right side
    18,051x = 604,643,510.25
  5. Step 5: Solve for x
    x = 604,643,510.25/18,051
  6. Step 6: Final answer
    x = 33,496.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.