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Finding the Third Proportional to 14,034.38 and 30,317.63

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Solution

The third proportional to 14,034.38 and 30,317.63 is: 65,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.38 : 30,317.63 = 30,317.63 : x
  2. Step 2: Convert to fraction form
    14,034.38/30,317.63 = 30,317.63/x
  3. Step 3: Cross multiply
    14,034.38x = 30,317.63 × 30,317.63
  4. Step 4: Simplify right side
    14,034.38x = 919,158,385.64
  5. Step 5: Solve for x
    x = 919,158,385.64/14,034.38
  6. Step 6: Final answer
    x = 65,493.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.