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Finding the Third Proportional to 10,746 and 18,306

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Solution

The third proportional to 10,746 and 18,306 is: 31,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 18,306 = 18,306 : x
  2. Step 2: Convert to fraction form
    10,746/18,306 = 18,306/x
  3. Step 3: Cross multiply
    10,746x = 18,306 × 18,306
  4. Step 4: Simplify right side
    10,746x = 335,109,636
  5. Step 5: Solve for x
    x = 335,109,636/10,746
  6. Step 6: Final answer
    x = 31,184.59

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.