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Finding the Third Proportional to 13,545 and 29,619

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Solution

The third proportional to 13,545 and 29,619 is: 64,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545 : 29,619 = 29,619 : x
  2. Step 2: Convert to fraction form
    13,545/29,619 = 29,619/x
  3. Step 3: Cross multiply
    13,545x = 29,619 × 29,619
  4. Step 4: Simplify right side
    13,545x = 877,285,161
  5. Step 5: Solve for x
    x = 877,285,161/13,545
  6. Step 6: Final answer
    x = 64,768.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.