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Finding the Third Proportional to 6,200 and 13,534

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Solution

The third proportional to 6,200 and 13,534 is: 29,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200 : 13,534 = 13,534 : x
  2. Step 2: Convert to fraction form
    6,200/13,534 = 13,534/x
  3. Step 3: Cross multiply
    6,200x = 13,534 × 13,534
  4. Step 4: Simplify right side
    6,200x = 183,169,156
  5. Step 5: Solve for x
    x = 183,169,156/6,200
  6. Step 6: Final answer
    x = 29,543.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.