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Finding the Third Proportional to 18,299 and 39,955

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Solution

The third proportional to 18,299 and 39,955 is: 87,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,299 : 39,955 = 39,955 : x
  2. Step 2: Convert to fraction form
    18,299/39,955 = 39,955/x
  3. Step 3: Cross multiply
    18,299x = 39,955 × 39,955
  4. Step 4: Simplify right side
    18,299x = 1,596,402,025
  5. Step 5: Solve for x
    x = 1,596,402,025/18,299
  6. Step 6: Final answer
    x = 87,239.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.