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Finding the Third Proportional to 10,581.53 and 14,041.44

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Solution

The third proportional to 10,581.53 and 14,041.44 is: 18,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.53 : 14,041.44 = 14,041.44 : x
  2. Step 2: Convert to fraction form
    10,581.53/14,041.44 = 14,041.44/x
  3. Step 3: Cross multiply
    10,581.53x = 14,041.44 × 14,041.44
  4. Step 4: Simplify right side
    10,581.53x = 197,161,953.35
  5. Step 5: Solve for x
    x = 197,161,953.35/10,581.53
  6. Step 6: Final answer
    x = 18,632.64

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.