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Finding the Third Proportional to 25,315 and 37,942

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Solution

The third proportional to 25,315 and 37,942 is: 56,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,315 : 37,942 = 37,942 : x
  2. Step 2: Convert to fraction form
    25,315/37,942 = 37,942/x
  3. Step 3: Cross multiply
    25,315x = 37,942 × 37,942
  4. Step 4: Simplify right side
    25,315x = 1,439,595,364
  5. Step 5: Solve for x
    x = 1,439,595,364/25,315
  6. Step 6: Final answer
    x = 56,867.29

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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.