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Finding the Third Proportional to 15,155 and 20,385.50

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Solution

The third proportional to 15,155 and 20,385.50 is: 27,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,155 : 20,385.50 = 20,385.50 : x
  2. Step 2: Convert to fraction form
    15,155/20,385.50 = 20,385.50/x
  3. Step 3: Cross multiply
    15,155x = 20,385.50 × 20,385.50
  4. Step 4: Simplify right side
    15,155x = 415,568,610.25
  5. Step 5: Solve for x
    x = 415,568,610.25/15,155
  6. Step 6: Final answer
    x = 27,421.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.