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Finding the Third Proportional to 6,765 and 15,639

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Solution

The third proportional to 6,765 and 15,639 is: 36,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765 : 15,639 = 15,639 : x
  2. Step 2: Convert to fraction form
    6,765/15,639 = 15,639/x
  3. Step 3: Cross multiply
    6,765x = 15,639 × 15,639
  4. Step 4: Simplify right side
    6,765x = 244,578,321
  5. Step 5: Solve for x
    x = 244,578,321/6,765
  6. Step 6: Final answer
    x = 36,153.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.