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Finding the Third Proportional to 13,650 and 20,023

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Solution

The third proportional to 13,650 and 20,023 is: 29,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650 : 20,023 = 20,023 : x
  2. Step 2: Convert to fraction form
    13,650/20,023 = 20,023/x
  3. Step 3: Cross multiply
    13,650x = 20,023 × 20,023
  4. Step 4: Simplify right side
    13,650x = 400,920,529
  5. Step 5: Solve for x
    x = 400,920,529/13,650
  6. Step 6: Final answer
    x = 29,371.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.