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Finding the Third Proportional to 25,187 and 35,308

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Solution

The third proportional to 25,187 and 35,308 is: 49,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187 : 35,308 = 35,308 : x
  2. Step 2: Convert to fraction form
    25,187/35,308 = 35,308/x
  3. Step 3: Cross multiply
    25,187x = 35,308 × 35,308
  4. Step 4: Simplify right side
    25,187x = 1,246,654,864
  5. Step 5: Solve for x
    x = 1,246,654,864/25,187
  6. Step 6: Final answer
    x = 49,495.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.