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Finding the Third Proportional to 7,836 and 10,746

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Solution

The third proportional to 7,836 and 10,746 is: 14,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 10,746 = 10,746 : x
  2. Step 2: Convert to fraction form
    7,836/10,746 = 10,746/x
  3. Step 3: Cross multiply
    7,836x = 10,746 × 10,746
  4. Step 4: Simplify right side
    7,836x = 115,476,516
  5. Step 5: Solve for x
    x = 115,476,516/7,836
  6. Step 6: Final answer
    x = 14,736.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.