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Finding the Third Proportional to 18,135.50 and 37,911.50

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Solution

The third proportional to 18,135.50 and 37,911.50 is: 79,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135.50 : 37,911.50 = 37,911.50 : x
  2. Step 2: Convert to fraction form
    18,135.50/37,911.50 = 37,911.50/x
  3. Step 3: Cross multiply
    18,135.50x = 37,911.50 × 37,911.50
  4. Step 4: Simplify right side
    18,135.50x = 1,437,281,832.25
  5. Step 5: Solve for x
    x = 1,437,281,832.25/18,135.50
  6. Step 6: Final answer
    x = 79,252.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.