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Finding the Third Proportional to 18,909.50 and 41,135

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Solution

The third proportional to 18,909.50 and 41,135 is: 89,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,909.50 : 41,135 = 41,135 : x
  2. Step 2: Convert to fraction form
    18,909.50/41,135 = 41,135/x
  3. Step 3: Cross multiply
    18,909.50x = 41,135 × 41,135
  4. Step 4: Simplify right side
    18,909.50x = 1,692,088,225
  5. Step 5: Solve for x
    x = 1,692,088,225/18,909.50
  6. Step 6: Final answer
    x = 89,483.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.