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Finding the Third Proportional to 13,509 and 29,745

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Solution

The third proportional to 13,509 and 29,745 is: 65,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 29,745 = 29,745 : x
  2. Step 2: Convert to fraction form
    13,509/29,745 = 29,745/x
  3. Step 3: Cross multiply
    13,509x = 29,745 × 29,745
  4. Step 4: Simplify right side
    13,509x = 884,765,025
  5. Step 5: Solve for x
    x = 884,765,025/13,509
  6. Step 6: Final answer
    x = 65,494.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.