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Finding the Third Proportional to 25,254 and 37,392

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Solution

The third proportional to 25,254 and 37,392 is: 55,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254 : 37,392 = 37,392 : x
  2. Step 2: Convert to fraction form
    25,254/37,392 = 37,392/x
  3. Step 3: Cross multiply
    25,254x = 37,392 × 37,392
  4. Step 4: Simplify right side
    25,254x = 1,398,161,664
  5. Step 5: Solve for x
    x = 1,398,161,664/25,254
  6. Step 6: Final answer
    x = 55,363.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.