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Finding the Third Proportional to 13,650.75 and 29,827.13

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Solution

The third proportional to 13,650.75 and 29,827.13 is: 65,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.75 : 29,827.13 = 29,827.13 : x
  2. Step 2: Convert to fraction form
    13,650.75/29,827.13 = 29,827.13/x
  3. Step 3: Cross multiply
    13,650.75x = 29,827.13 × 29,827.13
  4. Step 4: Simplify right side
    13,650.75x = 889,657,385.77
  5. Step 5: Solve for x
    x = 889,657,385.77/13,650.75
  6. Step 6: Final answer
    x = 65,172.78

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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.