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Finding the Third Proportional to 18,319.50 and 39,231

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Solution

The third proportional to 18,319.50 and 39,231 is: 84,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,319.50 : 39,231 = 39,231 : x
  2. Step 2: Convert to fraction form
    18,319.50/39,231 = 39,231/x
  3. Step 3: Cross multiply
    18,319.50x = 39,231 × 39,231
  4. Step 4: Simplify right side
    18,319.50x = 1,539,071,361
  5. Step 5: Solve for x
    x = 1,539,071,361/18,319.50
  6. Step 6: Final answer
    x = 84,012.74

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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.