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Finding the Third Proportional to 25,262 and 37,892

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Solution

The third proportional to 25,262 and 37,892 is: 56,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262 : 37,892 = 37,892 : x
  2. Step 2: Convert to fraction form
    25,262/37,892 = 37,892/x
  3. Step 3: Cross multiply
    25,262x = 37,892 × 37,892
  4. Step 4: Simplify right side
    25,262x = 1,435,803,664
  5. Step 5: Solve for x
    x = 1,435,803,664/25,262
  6. Step 6: Final answer
    x = 56,836.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.