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Finding the Third Proportional to 18,637.50 and 40,767

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Solution

The third proportional to 18,637.50 and 40,767 is: 89,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,637.50 : 40,767 = 40,767 : x
  2. Step 2: Convert to fraction form
    18,637.50/40,767 = 40,767/x
  3. Step 3: Cross multiply
    18,637.50x = 40,767 × 40,767
  4. Step 4: Simplify right side
    18,637.50x = 1,661,948,289
  5. Step 5: Solve for x
    x = 1,661,948,289/18,637.50
  6. Step 6: Final answer
    x = 89,172.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.