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Finding the Third Proportional to 10,599 and 15,894

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Solution

The third proportional to 10,599 and 15,894 is: 23,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599 : 15,894 = 15,894 : x
  2. Step 2: Convert to fraction form
    10,599/15,894 = 15,894/x
  3. Step 3: Cross multiply
    10,599x = 15,894 × 15,894
  4. Step 4: Simplify right side
    10,599x = 252,619,236
  5. Step 5: Solve for x
    x = 252,619,236/10,599
  6. Step 6: Final answer
    x = 23,834.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.