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Finding the Third Proportional to 14,693.91 and 32,121.56

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Solution

The third proportional to 14,693.91 and 32,121.56 is: 70,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.91 : 32,121.56 = 32,121.56 : x
  2. Step 2: Convert to fraction form
    14,693.91/32,121.56 = 32,121.56/x
  3. Step 3: Cross multiply
    14,693.91x = 32,121.56 × 32,121.56
  4. Step 4: Simplify right side
    14,693.91x = 1,031,794,777.44
  5. Step 5: Solve for x
    x = 1,031,794,777.44/14,693.91
  6. Step 6: Final answer
    x = 70,219.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.