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Finding the Third Proportional to 6,494.34 and 14,218.88

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Solution

The third proportional to 6,494.34 and 14,218.88 is: 31,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.34 : 14,218.88 = 14,218.88 : x
  2. Step 2: Convert to fraction form
    6,494.34/14,218.88 = 14,218.88/x
  3. Step 3: Cross multiply
    6,494.34x = 14,218.88 × 14,218.88
  4. Step 4: Simplify right side
    6,494.34x = 202,176,406.27
  5. Step 5: Solve for x
    x = 202,176,406.27/6,494.34
  6. Step 6: Final answer
    x = 31,131.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.