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Finding the Third Proportional to 16,429.13 and 25,738.88

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Solution

The third proportional to 16,429.13 and 25,738.88 is: 40,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.13 : 25,738.88 = 25,738.88 : x
  2. Step 2: Convert to fraction form
    16,429.13/25,738.88 = 25,738.88/x
  3. Step 3: Cross multiply
    16,429.13x = 25,738.88 × 25,738.88
  4. Step 4: Simplify right side
    16,429.13x = 662,489,686.27
  5. Step 5: Solve for x
    x = 662,489,686.27/16,429.13
  6. Step 6: Final answer
    x = 40,324.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.