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Finding the Third Proportional to 6,503 and 13,780

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Solution

The third proportional to 6,503 and 13,780 is: 29,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503 : 13,780 = 13,780 : x
  2. Step 2: Convert to fraction form
    6,503/13,780 = 13,780/x
  3. Step 3: Cross multiply
    6,503x = 13,780 × 13,780
  4. Step 4: Simplify right side
    6,503x = 189,888,400
  5. Step 5: Solve for x
    x = 189,888,400/6,503
  6. Step 6: Final answer
    x = 29,200.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.