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Finding the Third Proportional to 17,155 and 25,660.50

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Solution

The third proportional to 17,155 and 25,660.50 is: 38,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,155 : 25,660.50 = 25,660.50 : x
  2. Step 2: Convert to fraction form
    17,155/25,660.50 = 25,660.50/x
  3. Step 3: Cross multiply
    17,155x = 25,660.50 × 25,660.50
  4. Step 4: Simplify right side
    17,155x = 658,461,260.25
  5. Step 5: Solve for x
    x = 658,461,260.25/17,155
  6. Step 6: Final answer
    x = 38,383.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.