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Finding the Third Proportional to 6,281 and 13,534

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Solution

The third proportional to 6,281 and 13,534 is: 29,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281 : 13,534 = 13,534 : x
  2. Step 2: Convert to fraction form
    6,281/13,534 = 13,534/x
  3. Step 3: Cross multiply
    6,281x = 13,534 × 13,534
  4. Step 4: Simplify right side
    6,281x = 183,169,156
  5. Step 5: Solve for x
    x = 183,169,156/6,281
  6. Step 6: Final answer
    x = 29,162.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.