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Finding the Third Proportional to 28,524 and 37,854

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Solution

The third proportional to 28,524 and 37,854 is: 50,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524 : 37,854 = 37,854 : x
  2. Step 2: Convert to fraction form
    28,524/37,854 = 37,854/x
  3. Step 3: Cross multiply
    28,524x = 37,854 × 37,854
  4. Step 4: Simplify right side
    28,524x = 1,432,925,316
  5. Step 5: Solve for x
    x = 1,432,925,316/28,524
  6. Step 6: Final answer
    x = 50,235.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.