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Finding the Third Proportional to 9,135.50 and 19,567

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Solution

The third proportional to 9,135.50 and 19,567 is: 41,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.50 : 19,567 = 19,567 : x
  2. Step 2: Convert to fraction form
    9,135.50/19,567 = 19,567/x
  3. Step 3: Cross multiply
    9,135.50x = 19,567 × 19,567
  4. Step 4: Simplify right side
    9,135.50x = 382,867,489
  5. Step 5: Solve for x
    x = 382,867,489/9,135.50
  6. Step 6: Final answer
    x = 41,909.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.