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Finding the Third Proportional to 24,799 and 37,783

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Solution

The third proportional to 24,799 and 37,783 is: 57,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,799 : 37,783 = 37,783 : x
  2. Step 2: Convert to fraction form
    24,799/37,783 = 37,783/x
  3. Step 3: Cross multiply
    24,799x = 37,783 × 37,783
  4. Step 4: Simplify right side
    24,799x = 1,427,555,089
  5. Step 5: Solve for x
    x = 1,427,555,089/24,799
  6. Step 6: Final answer
    x = 57,565.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.