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Finding the Third Proportional to 8,613 and 19,174.50

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Solution

The third proportional to 8,613 and 19,174.50 is: 42,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613 : 19,174.50 = 19,174.50 : x
  2. Step 2: Convert to fraction form
    8,613/19,174.50 = 19,174.50/x
  3. Step 3: Cross multiply
    8,613x = 19,174.50 × 19,174.50
  4. Step 4: Simplify right side
    8,613x = 367,661,450.25
  5. Step 5: Solve for x
    x = 367,661,450.25/8,613
  6. Step 6: Final answer
    x = 42,686.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.