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Finding the Third Proportional to 19,138.50 and 40,553

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Solution

The third proportional to 19,138.50 and 40,553 is: 85,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.50 : 40,553 = 40,553 : x
  2. Step 2: Convert to fraction form
    19,138.50/40,553 = 40,553/x
  3. Step 3: Cross multiply
    19,138.50x = 40,553 × 40,553
  4. Step 4: Simplify right side
    19,138.50x = 1,644,545,809
  5. Step 5: Solve for x
    x = 1,644,545,809/19,138.50
  6. Step 6: Final answer
    x = 85,928.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.