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Finding the Third Proportional to 18,948 and 39,855

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Solution

The third proportional to 18,948 and 39,855 is: 83,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,948 : 39,855 = 39,855 : x
  2. Step 2: Convert to fraction form
    18,948/39,855 = 39,855/x
  3. Step 3: Cross multiply
    18,948x = 39,855 × 39,855
  4. Step 4: Simplify right side
    18,948x = 1,588,421,025
  5. Step 5: Solve for x
    x = 1,588,421,025/18,948
  6. Step 6: Final answer
    x = 83,830.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.