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Finding the Third Proportional to 24,846 and 37,293

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Solution

The third proportional to 24,846 and 37,293 is: 55,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846 : 37,293 = 37,293 : x
  2. Step 2: Convert to fraction form
    24,846/37,293 = 37,293/x
  3. Step 3: Cross multiply
    24,846x = 37,293 × 37,293
  4. Step 4: Simplify right side
    24,846x = 1,390,767,849
  5. Step 5: Solve for x
    x = 1,390,767,849/24,846
  6. Step 6: Final answer
    x = 55,975.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.