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Finding the Third Proportional to 13,023 and 28,467

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Solution

The third proportional to 13,023 and 28,467 is: 62,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023 : 28,467 = 28,467 : x
  2. Step 2: Convert to fraction form
    13,023/28,467 = 28,467/x
  3. Step 3: Cross multiply
    13,023x = 28,467 × 28,467
  4. Step 4: Simplify right side
    13,023x = 810,370,089
  5. Step 5: Solve for x
    x = 810,370,089/13,023
  6. Step 6: Final answer
    x = 62,226.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.