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Finding the Third Proportional to 25,126 and 36,933

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Solution

The third proportional to 25,126 and 36,933 is: 54,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,126 : 36,933 = 36,933 : x
  2. Step 2: Convert to fraction form
    25,126/36,933 = 36,933/x
  3. Step 3: Cross multiply
    25,126x = 36,933 × 36,933
  4. Step 4: Simplify right side
    25,126x = 1,364,046,489
  5. Step 5: Solve for x
    x = 1,364,046,489/25,126
  6. Step 6: Final answer
    x = 54,288.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.