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Finding the Third Proportional to 38,656 and 81,465

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Solution

The third proportional to 38,656 and 81,465 is: 171,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,656 : 81,465 = 81,465 : x
  2. Step 2: Convert to fraction form
    38,656/81,465 = 81,465/x
  3. Step 3: Cross multiply
    38,656x = 81,465 × 81,465
  4. Step 4: Simplify right side
    38,656x = 6,636,546,225
  5. Step 5: Solve for x
    x = 6,636,546,225/38,656
  6. Step 6: Final answer
    x = 171,682.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.