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Finding the Third Proportional to 25,150 and 37,788

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Solution

The third proportional to 25,150 and 37,788 is: 56,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150 : 37,788 = 37,788 : x
  2. Step 2: Convert to fraction form
    25,150/37,788 = 37,788/x
  3. Step 3: Cross multiply
    25,150x = 37,788 × 37,788
  4. Step 4: Simplify right side
    25,150x = 1,427,932,944
  5. Step 5: Solve for x
    x = 1,427,932,944/25,150
  6. Step 6: Final answer
    x = 56,776.66

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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.