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Finding the Third Proportional to 38,326 and 83,402

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Solution

The third proportional to 38,326 and 83,402 is: 181,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,326 : 83,402 = 83,402 : x
  2. Step 2: Convert to fraction form
    38,326/83,402 = 83,402/x
  3. Step 3: Cross multiply
    38,326x = 83,402 × 83,402
  4. Step 4: Simplify right side
    38,326x = 6,955,893,604
  5. Step 5: Solve for x
    x = 6,955,893,604/38,326
  6. Step 6: Final answer
    x = 181,492.81

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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.