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Finding the Third Proportional to 19,425 and 29,191.50

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Solution

The third proportional to 19,425 and 29,191.50 is: 43,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425 : 29,191.50 = 29,191.50 : x
  2. Step 2: Convert to fraction form
    19,425/29,191.50 = 29,191.50/x
  3. Step 3: Cross multiply
    19,425x = 29,191.50 × 29,191.50
  4. Step 4: Simplify right side
    19,425x = 852,143,672.25
  5. Step 5: Solve for x
    x = 852,143,672.25/19,425
  6. Step 6: Final answer
    x = 43,868.40

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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.