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Finding the Third Proportional to 19,393 and 29,251.50

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Solution

The third proportional to 19,393 and 29,251.50 is: 44,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,393 : 29,251.50 = 29,251.50 : x
  2. Step 2: Convert to fraction form
    19,393/29,251.50 = 29,251.50/x
  3. Step 3: Cross multiply
    19,393x = 29,251.50 × 29,251.50
  4. Step 4: Simplify right side
    19,393x = 855,650,252.25
  5. Step 5: Solve for x
    x = 855,650,252.25/19,393
  6. Step 6: Final answer
    x = 44,121.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.