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Finding the Third Proportional to 24,783 and 37,914

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Solution

The third proportional to 24,783 and 37,914 is: 58,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783 : 37,914 = 37,914 : x
  2. Step 2: Convert to fraction form
    24,783/37,914 = 37,914/x
  3. Step 3: Cross multiply
    24,783x = 37,914 × 37,914
  4. Step 4: Simplify right side
    24,783x = 1,437,471,396
  5. Step 5: Solve for x
    x = 1,437,471,396/24,783
  6. Step 6: Final answer
    x = 58,002.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.