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Finding the Third Proportional to 16,027 and 25,352.50

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Solution

The third proportional to 16,027 and 25,352.50 is: 40,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027 : 25,352.50 = 25,352.50 : x
  2. Step 2: Convert to fraction form
    16,027/25,352.50 = 25,352.50/x
  3. Step 3: Cross multiply
    16,027x = 25,352.50 × 25,352.50
  4. Step 4: Simplify right side
    16,027x = 642,749,256.25
  5. Step 5: Solve for x
    x = 642,749,256.25/16,027
  6. Step 6: Final answer
    x = 40,104.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.