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Finding the Third Proportional to 18,724.50 and 43,355.25

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Solution

The third proportional to 18,724.50 and 43,355.25 is: 100,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,724.50 : 43,355.25 = 43,355.25 : x
  2. Step 2: Convert to fraction form
    18,724.50/43,355.25 = 43,355.25/x
  3. Step 3: Cross multiply
    18,724.50x = 43,355.25 × 43,355.25
  4. Step 4: Simplify right side
    18,724.50x = 1,879,677,702.56
  5. Step 5: Solve for x
    x = 1,879,677,702.56/18,724.50
  6. Step 6: Final answer
    x = 100,386.00

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.