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Finding the Third Proportional to 13,623.19 and 29,714.34

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Solution

The third proportional to 13,623.19 and 29,714.34 is: 64,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.19 : 29,714.34 = 29,714.34 : x
  2. Step 2: Convert to fraction form
    13,623.19/29,714.34 = 29,714.34/x
  3. Step 3: Cross multiply
    13,623.19x = 29,714.34 × 29,714.34
  4. Step 4: Simplify right side
    13,623.19x = 882,942,224.49
  5. Step 5: Solve for x
    x = 882,942,224.49/13,623.19
  6. Step 6: Final answer
    x = 64,811.72

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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.