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Finding the Third Proportional to 38,664 and 82,066

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Solution

The third proportional to 38,664 and 82,066 is: 174,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,664 : 82,066 = 82,066 : x
  2. Step 2: Convert to fraction form
    38,664/82,066 = 82,066/x
  3. Step 3: Cross multiply
    38,664x = 82,066 × 82,066
  4. Step 4: Simplify right side
    38,664x = 6,734,828,356
  5. Step 5: Solve for x
    x = 6,734,828,356/38,664
  6. Step 6: Final answer
    x = 174,188.61

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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.