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Finding the Third Proportional to 6,034 and 14,534

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Solution

The third proportional to 6,034 and 14,534 is: 35,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034 : 14,534 = 14,534 : x
  2. Step 2: Convert to fraction form
    6,034/14,534 = 14,534/x
  3. Step 3: Cross multiply
    6,034x = 14,534 × 14,534
  4. Step 4: Simplify right side
    6,034x = 211,237,156
  5. Step 5: Solve for x
    x = 211,237,156/6,034
  6. Step 6: Final answer
    x = 35,007.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.