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Finding the Third Proportional to 18,386 and 39,689

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Solution

The third proportional to 18,386 and 39,689 is: 85,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,386 : 39,689 = 39,689 : x
  2. Step 2: Convert to fraction form
    18,386/39,689 = 39,689/x
  3. Step 3: Cross multiply
    18,386x = 39,689 × 39,689
  4. Step 4: Simplify right side
    18,386x = 1,575,216,721
  5. Step 5: Solve for x
    x = 1,575,216,721/18,386
  6. Step 6: Final answer
    x = 85,674.79

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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.