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Finding the Third Proportional to 6,546 and 15,629

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Solution

The third proportional to 6,546 and 15,629 is: 37,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546 : 15,629 = 15,629 : x
  2. Step 2: Convert to fraction form
    6,546/15,629 = 15,629/x
  3. Step 3: Cross multiply
    6,546x = 15,629 × 15,629
  4. Step 4: Simplify right side
    6,546x = 244,265,641
  5. Step 5: Solve for x
    x = 244,265,641/6,546
  6. Step 6: Final answer
    x = 37,315.25

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.