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Finding the Third Proportional to 10,747 and 15,135

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Solution

The third proportional to 10,747 and 15,135 is: 21,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747 : 15,135 = 15,135 : x
  2. Step 2: Convert to fraction form
    10,747/15,135 = 15,135/x
  3. Step 3: Cross multiply
    10,747x = 15,135 × 15,135
  4. Step 4: Simplify right side
    10,747x = 229,068,225
  5. Step 5: Solve for x
    x = 229,068,225/10,747
  6. Step 6: Final answer
    x = 21,314.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.