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Finding the Third Proportional to 14,063.63 and 29,914.31

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Solution

The third proportional to 14,063.63 and 29,914.31 is: 63,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,063.63 : 29,914.31 = 29,914.31 : x
  2. Step 2: Convert to fraction form
    14,063.63/29,914.31 = 29,914.31/x
  3. Step 3: Cross multiply
    14,063.63x = 29,914.31 × 29,914.31
  4. Step 4: Simplify right side
    14,063.63x = 894,866,092.35
  5. Step 5: Solve for x
    x = 894,866,092.35/14,063.63
  6. Step 6: Final answer
    x = 63,629.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.