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Finding the Third Proportional to 10,517.34 and 16,081.03

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Solution

The third proportional to 10,517.34 and 16,081.03 is: 24,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.34 : 16,081.03 = 16,081.03 : x
  2. Step 2: Convert to fraction form
    10,517.34/16,081.03 = 16,081.03/x
  3. Step 3: Cross multiply
    10,517.34x = 16,081.03 × 16,081.03
  4. Step 4: Simplify right side
    10,517.34x = 258,599,566.06
  5. Step 5: Solve for x
    x = 258,599,566.06/10,517.34
  6. Step 6: Final answer
    x = 24,587.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.