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Finding the Third Proportional to 14,564 and 20,436

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Solution

The third proportional to 14,564 and 20,436 is: 28,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564 : 20,436 = 20,436 : x
  2. Step 2: Convert to fraction form
    14,564/20,436 = 20,436/x
  3. Step 3: Cross multiply
    14,564x = 20,436 × 20,436
  4. Step 4: Simplify right side
    14,564x = 417,630,096
  5. Step 5: Solve for x
    x = 417,630,096/14,564
  6. Step 6: Final answer
    x = 28,675.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.