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Finding the Third Proportional to 6,439 and 13,570

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Solution

The third proportional to 6,439 and 13,570 is: 28,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439 : 13,570 = 13,570 : x
  2. Step 2: Convert to fraction form
    6,439/13,570 = 13,570/x
  3. Step 3: Cross multiply
    6,439x = 13,570 × 13,570
  4. Step 4: Simplify right side
    6,439x = 184,144,900
  5. Step 5: Solve for x
    x = 184,144,900/6,439
  6. Step 6: Final answer
    x = 28,598.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.