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Finding the Third Proportional to 13,664.50 and 29,651

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Solution

The third proportional to 13,664.50 and 29,651 is: 64,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.50 : 29,651 = 29,651 : x
  2. Step 2: Convert to fraction form
    13,664.50/29,651 = 29,651/x
  3. Step 3: Cross multiply
    13,664.50x = 29,651 × 29,651
  4. Step 4: Simplify right side
    13,664.50x = 879,181,801
  5. Step 5: Solve for x
    x = 879,181,801/13,664.50
  6. Step 6: Final answer
    x = 64,340.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.