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Finding the Third Proportional to 25,268 and 37,905

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Solution

The third proportional to 25,268 and 37,905 is: 56,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,268 : 37,905 = 37,905 : x
  2. Step 2: Convert to fraction form
    25,268/37,905 = 37,905/x
  3. Step 3: Cross multiply
    25,268x = 37,905 × 37,905
  4. Step 4: Simplify right side
    25,268x = 1,436,789,025
  5. Step 5: Solve for x
    x = 1,436,789,025/25,268
  6. Step 6: Final answer
    x = 56,862.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.