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Finding the Third Proportional to 19,378.50 and 29,068

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Solution

The third proportional to 19,378.50 and 29,068 is: 43,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.50 : 29,068 = 29,068 : x
  2. Step 2: Convert to fraction form
    19,378.50/29,068 = 29,068/x
  3. Step 3: Cross multiply
    19,378.50x = 29,068 × 29,068
  4. Step 4: Simplify right side
    19,378.50x = 844,948,624
  5. Step 5: Solve for x
    x = 844,948,624/19,378.50
  6. Step 6: Final answer
    x = 43,602.38

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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.