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Finding the Third Proportional to 38,664 and 61,308

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Solution

The third proportional to 38,664 and 61,308 is: 97,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,664 : 61,308 = 61,308 : x
  2. Step 2: Convert to fraction form
    38,664/61,308 = 61,308/x
  3. Step 3: Cross multiply
    38,664x = 61,308 × 61,308
  4. Step 4: Simplify right side
    38,664x = 3,758,670,864
  5. Step 5: Solve for x
    x = 3,758,670,864/38,664
  6. Step 6: Final answer
    x = 97,213.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.