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Finding the Third Proportional to 25,056 and 37,505

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Solution

The third proportional to 25,056 and 37,505 is: 56,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,056 : 37,505 = 37,505 : x
  2. Step 2: Convert to fraction form
    25,056/37,505 = 37,505/x
  3. Step 3: Cross multiply
    25,056x = 37,505 × 37,505
  4. Step 4: Simplify right side
    25,056x = 1,406,625,025
  5. Step 5: Solve for x
    x = 1,406,625,025/25,056
  6. Step 6: Final answer
    x = 56,139.25

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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.