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Finding the Third Proportional to 6,274.50 and 13,642.13

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Solution

The third proportional to 6,274.50 and 13,642.13 is: 29,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.50 : 13,642.13 = 13,642.13 : x
  2. Step 2: Convert to fraction form
    6,274.50/13,642.13 = 13,642.13/x
  3. Step 3: Cross multiply
    6,274.50x = 13,642.13 × 13,642.13
  4. Step 4: Simplify right side
    6,274.50x = 186,107,574.52
  5. Step 5: Solve for x
    x = 186,107,574.52/6,274.50
  6. Step 6: Final answer
    x = 29,660.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.