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Finding the Third Proportional to 24,478 and 37,823

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Solution

The third proportional to 24,478 and 37,823 is: 58,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478 : 37,823 = 37,823 : x
  2. Step 2: Convert to fraction form
    24,478/37,823 = 37,823/x
  3. Step 3: Cross multiply
    24,478x = 37,823 × 37,823
  4. Step 4: Simplify right side
    24,478x = 1,430,579,329
  5. Step 5: Solve for x
    x = 1,430,579,329/24,478
  6. Step 6: Final answer
    x = 58,443.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.