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Finding the Third Proportional to 18,823 and 28,237

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Solution

The third proportional to 18,823 and 28,237 is: 42,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823 : 28,237 = 28,237 : x
  2. Step 2: Convert to fraction form
    18,823/28,237 = 28,237/x
  3. Step 3: Cross multiply
    18,823x = 28,237 × 28,237
  4. Step 4: Simplify right side
    18,823x = 797,328,169
  5. Step 5: Solve for x
    x = 797,328,169/18,823
  6. Step 6: Final answer
    x = 42,359.25

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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.