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Finding the Third Proportional to 18,520 and 39,998

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Solution

The third proportional to 18,520 and 39,998 is: 86,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,520 : 39,998 = 39,998 : x
  2. Step 2: Convert to fraction form
    18,520/39,998 = 39,998/x
  3. Step 3: Cross multiply
    18,520x = 39,998 × 39,998
  4. Step 4: Simplify right side
    18,520x = 1,599,840,004
  5. Step 5: Solve for x
    x = 1,599,840,004/18,520
  6. Step 6: Final answer
    x = 86,384.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.