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Finding the Third Proportional to 38,904 and 51,276

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Solution

The third proportional to 38,904 and 51,276 is: 67,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,904 : 51,276 = 51,276 : x
  2. Step 2: Convert to fraction form
    38,904/51,276 = 51,276/x
  3. Step 3: Cross multiply
    38,904x = 51,276 × 51,276
  4. Step 4: Simplify right side
    38,904x = 2,629,228,176
  5. Step 5: Solve for x
    x = 2,629,228,176/38,904
  6. Step 6: Final answer
    x = 67,582.46

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.