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Finding the Third Proportional to 16,415.25 and 23,904.75

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Solution

The third proportional to 16,415.25 and 23,904.75 is: 34,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.25 : 23,904.75 = 23,904.75 : x
  2. Step 2: Convert to fraction form
    16,415.25/23,904.75 = 23,904.75/x
  3. Step 3: Cross multiply
    16,415.25x = 23,904.75 × 23,904.75
  4. Step 4: Simplify right side
    16,415.25x = 571,437,072.56
  5. Step 5: Solve for x
    x = 571,437,072.56/16,415.25
  6. Step 6: Final answer
    x = 34,811.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.