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Finding the Third Proportional to 6,242.91 and 13,374.28

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Solution

The third proportional to 6,242.91 and 13,374.28 is: 28,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.91 : 13,374.28 = 13,374.28 : x
  2. Step 2: Convert to fraction form
    6,242.91/13,374.28 = 13,374.28/x
  3. Step 3: Cross multiply
    6,242.91x = 13,374.28 × 13,374.28
  4. Step 4: Simplify right side
    6,242.91x = 178,871,398.95
  5. Step 5: Solve for x
    x = 178,871,398.95/6,242.91
  6. Step 6: Final answer
    x = 28,651.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.