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Finding the Third Proportional to 16,032.94 and 25,165.69

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Solution

The third proportional to 16,032.94 and 25,165.69 is: 39,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.94 : 25,165.69 = 25,165.69 : x
  2. Step 2: Convert to fraction form
    16,032.94/25,165.69 = 25,165.69/x
  3. Step 3: Cross multiply
    16,032.94x = 25,165.69 × 25,165.69
  4. Step 4: Simplify right side
    16,032.94x = 633,311,827.35
  5. Step 5: Solve for x
    x = 633,311,827.35/16,032.94
  6. Step 6: Final answer
    x = 39,500.67

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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.