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Finding the Third Proportional to 13,640.99 and 29,684.68

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Solution

The third proportional to 13,640.99 and 29,684.68 is: 64,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.99 : 29,684.68 = 29,684.68 : x
  2. Step 2: Convert to fraction form
    13,640.99/29,684.68 = 29,684.68/x
  3. Step 3: Cross multiply
    13,640.99x = 29,684.68 × 29,684.68
  4. Step 4: Simplify right side
    13,640.99x = 881,180,266.13
  5. Step 5: Solve for x
    x = 881,180,266.13/13,640.99
  6. Step 6: Final answer
    x = 64,597.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.