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Finding the Third Proportional to 14,044.64 and 32,292.42

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Solution

The third proportional to 14,044.64 and 32,292.42 is: 74,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.64 : 32,292.42 = 32,292.42 : x
  2. Step 2: Convert to fraction form
    14,044.64/32,292.42 = 32,292.42/x
  3. Step 3: Cross multiply
    14,044.64x = 32,292.42 × 32,292.42
  4. Step 4: Simplify right side
    14,044.64x = 1,042,800,510.55
  5. Step 5: Solve for x
    x = 1,042,800,510.55/14,044.64
  6. Step 6: Final answer
    x = 74,249.00

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.