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Finding the Third Proportional to 6,014.88 and 14,490.38

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Solution

The third proportional to 6,014.88 and 14,490.38 is: 34,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.88 : 14,490.38 = 14,490.38 : x
  2. Step 2: Convert to fraction form
    6,014.88/14,490.38 = 14,490.38/x
  3. Step 3: Cross multiply
    6,014.88x = 14,490.38 × 14,490.38
  4. Step 4: Simplify right side
    6,014.88x = 209,970,967.64
  5. Step 5: Solve for x
    x = 209,970,967.64/6,014.88
  6. Step 6: Final answer
    x = 34,908.62

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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.