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Finding the Third Proportional to 16,426 and 37,238

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Solution

The third proportional to 16,426 and 37,238 is: 84,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426 : 37,238 = 37,238 : x
  2. Step 2: Convert to fraction form
    16,426/37,238 = 37,238/x
  3. Step 3: Cross multiply
    16,426x = 37,238 × 37,238
  4. Step 4: Simplify right side
    16,426x = 1,386,668,644
  5. Step 5: Solve for x
    x = 1,386,668,644/16,426
  6. Step 6: Final answer
    x = 84,419.13

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.