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Finding the Third Proportional to 14,441.63 and 31,714.88

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Solution

The third proportional to 14,441.63 and 31,714.88 is: 69,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.63 : 31,714.88 = 31,714.88 : x
  2. Step 2: Convert to fraction form
    14,441.63/31,714.88 = 31,714.88/x
  3. Step 3: Cross multiply
    14,441.63x = 31,714.88 × 31,714.88
  4. Step 4: Simplify right side
    14,441.63x = 1,005,833,296.27
  5. Step 5: Solve for x
    x = 1,005,833,296.27/14,441.63
  6. Step 6: Final answer
    x = 69,648.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.