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Finding the Third Proportional to 25,252 and 37,877

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Solution

The third proportional to 25,252 and 37,877 is: 56,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,252 : 37,877 = 37,877 : x
  2. Step 2: Convert to fraction form
    25,252/37,877 = 37,877/x
  3. Step 3: Cross multiply
    25,252x = 37,877 × 37,877
  4. Step 4: Simplify right side
    25,252x = 1,434,667,129
  5. Step 5: Solve for x
    x = 1,434,667,129/25,252
  6. Step 6: Final answer
    x = 56,814.00

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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.