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Finding the Third Proportional to 38,426 and 81,412

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Solution

The third proportional to 38,426 and 81,412 is: 172,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 81,412 = 81,412 : x
  2. Step 2: Convert to fraction form
    38,426/81,412 = 81,412/x
  3. Step 3: Cross multiply
    38,426x = 81,412 × 81,412
  4. Step 4: Simplify right side
    38,426x = 6,627,913,744
  5. Step 5: Solve for x
    x = 6,627,913,744/38,426
  6. Step 6: Final answer
    x = 172,485.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.