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Finding the Third Proportional to 18,735.75 and 40,585.50

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Solution

The third proportional to 18,735.75 and 40,585.50 is: 87,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,735.75 : 40,585.50 = 40,585.50 : x
  2. Step 2: Convert to fraction form
    18,735.75/40,585.50 = 40,585.50/x
  3. Step 3: Cross multiply
    18,735.75x = 40,585.50 × 40,585.50
  4. Step 4: Simplify right side
    18,735.75x = 1,647,182,810.25
  5. Step 5: Solve for x
    x = 1,647,182,810.25/18,735.75
  6. Step 6: Final answer
    x = 87,916.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.