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Finding the Third Proportional to 12,614.63 and 29,735.44

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Solution

The third proportional to 12,614.63 and 29,735.44 is: 70,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.63 : 29,735.44 = 29,735.44 : x
  2. Step 2: Convert to fraction form
    12,614.63/29,735.44 = 29,735.44/x
  3. Step 3: Cross multiply
    12,614.63x = 29,735.44 × 29,735.44
  4. Step 4: Simplify right side
    12,614.63x = 884,196,243.32
  5. Step 5: Solve for x
    x = 884,196,243.32/12,614.63
  6. Step 6: Final answer
    x = 70,092.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.