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Finding the Third Proportional to 17,139 and 38,216.50

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Solution

The third proportional to 17,139 and 38,216.50 is: 85,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,139 : 38,216.50 = 38,216.50 : x
  2. Step 2: Convert to fraction form
    17,139/38,216.50 = 38,216.50/x
  3. Step 3: Cross multiply
    17,139x = 38,216.50 × 38,216.50
  4. Step 4: Simplify right side
    17,139x = 1,460,500,872.25
  5. Step 5: Solve for x
    x = 1,460,500,872.25/17,139
  6. Step 6: Final answer
    x = 85,215.06

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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.