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Finding the Third Proportional to 24,548.25 and 37,535.25

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Solution

The third proportional to 24,548.25 and 37,535.25 is: 57,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548.25 : 37,535.25 = 37,535.25 : x
  2. Step 2: Convert to fraction form
    24,548.25/37,535.25 = 37,535.25/x
  3. Step 3: Cross multiply
    24,548.25x = 37,535.25 × 37,535.25
  4. Step 4: Simplify right side
    24,548.25x = 1,408,894,992.56
  5. Step 5: Solve for x
    x = 1,408,894,992.56/24,548.25
  6. Step 6: Final answer
    x = 57,392.89

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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.