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Finding the Third Proportional to 7,131.94 and 14,479.88

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Solution

The third proportional to 7,131.94 and 14,479.88 is: 29,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.94 : 14,479.88 = 14,479.88 : x
  2. Step 2: Convert to fraction form
    7,131.94/14,479.88 = 14,479.88/x
  3. Step 3: Cross multiply
    7,131.94x = 14,479.88 × 14,479.88
  4. Step 4: Simplify right side
    7,131.94x = 209,666,780.02
  5. Step 5: Solve for x
    x = 209,666,780.02/7,131.94
  6. Step 6: Final answer
    x = 29,398.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.