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Finding the Third Proportional to 13,640.91 and 29,433.38

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Solution

The third proportional to 13,640.91 and 29,433.38 is: 63,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.91 : 29,433.38 = 29,433.38 : x
  2. Step 2: Convert to fraction form
    13,640.91/29,433.38 = 29,433.38/x
  3. Step 3: Cross multiply
    13,640.91x = 29,433.38 × 29,433.38
  4. Step 4: Simplify right side
    13,640.91x = 866,323,563.89
  5. Step 5: Solve for x
    x = 866,323,563.89/13,640.91
  6. Step 6: Final answer
    x = 63,509.24

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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.