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Finding the Third Proportional to 24,770 and 37,419

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Solution

The third proportional to 24,770 and 37,419 is: 56,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770 : 37,419 = 37,419 : x
  2. Step 2: Convert to fraction form
    24,770/37,419 = 37,419/x
  3. Step 3: Cross multiply
    24,770x = 37,419 × 37,419
  4. Step 4: Simplify right side
    24,770x = 1,400,181,561
  5. Step 5: Solve for x
    x = 1,400,181,561/24,770
  6. Step 6: Final answer
    x = 56,527.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.