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Finding the Third Proportional to 18,510 and 39,698

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Solution

The third proportional to 18,510 and 39,698 is: 85,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,510 : 39,698 = 39,698 : x
  2. Step 2: Convert to fraction form
    18,510/39,698 = 39,698/x
  3. Step 3: Cross multiply
    18,510x = 39,698 × 39,698
  4. Step 4: Simplify right side
    18,510x = 1,575,931,204
  5. Step 5: Solve for x
    x = 1,575,931,204/18,510
  6. Step 6: Final answer
    x = 85,139.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.