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Finding the Third Proportional to 38,904 and 61,146

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Solution

The third proportional to 38,904 and 61,146 is: 96,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,904 : 61,146 = 61,146 : x
  2. Step 2: Convert to fraction form
    38,904/61,146 = 61,146/x
  3. Step 3: Cross multiply
    38,904x = 61,146 × 61,146
  4. Step 4: Simplify right side
    38,904x = 3,738,833,316
  5. Step 5: Solve for x
    x = 3,738,833,316/38,904
  6. Step 6: Final answer
    x = 96,104.08

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.