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Finding the Third Proportional to 8,357.50 and 18,155

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Solution

The third proportional to 8,357.50 and 18,155 is: 39,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.50 : 18,155 = 18,155 : x
  2. Step 2: Convert to fraction form
    8,357.50/18,155 = 18,155/x
  3. Step 3: Cross multiply
    8,357.50x = 18,155 × 18,155
  4. Step 4: Simplify right side
    8,357.50x = 329,604,025
  5. Step 5: Solve for x
    x = 329,604,025/8,357.50
  6. Step 6: Final answer
    x = 39,438.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.