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Finding the Third Proportional to 14,550 and 19,503

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Solution

The third proportional to 14,550 and 19,503 is: 26,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550 : 19,503 = 19,503 : x
  2. Step 2: Convert to fraction form
    14,550/19,503 = 19,503/x
  3. Step 3: Cross multiply
    14,550x = 19,503 × 19,503
  4. Step 4: Simplify right side
    14,550x = 380,367,009
  5. Step 5: Solve for x
    x = 380,367,009/14,550
  6. Step 6: Final answer
    x = 26,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.