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Finding the Third Proportional to 13,684.22 and 29,617.31

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Solution

The third proportional to 13,684.22 and 29,617.31 is: 64,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.22 : 29,617.31 = 29,617.31 : x
  2. Step 2: Convert to fraction form
    13,684.22/29,617.31 = 29,617.31/x
  3. Step 3: Cross multiply
    13,684.22x = 29,617.31 × 29,617.31
  4. Step 4: Simplify right side
    13,684.22x = 877,185,199.72
  5. Step 5: Solve for x
    x = 877,185,199.72/13,684.22
  6. Step 6: Final answer
    x = 64,101.96

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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.