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Finding the Third Proportional to 14,496.47 and 25,803.56

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Solution

The third proportional to 14,496.47 and 25,803.56 is: 45,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.47 : 25,803.56 = 25,803.56 : x
  2. Step 2: Convert to fraction form
    14,496.47/25,803.56 = 25,803.56/x
  3. Step 3: Cross multiply
    14,496.47x = 25,803.56 × 25,803.56
  4. Step 4: Simplify right side
    14,496.47x = 665,823,837.69
  5. Step 5: Solve for x
    x = 665,823,837.69/14,496.47
  6. Step 6: Final answer
    x = 45,930.07

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.