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Finding the Third Proportional to 13,661.16 and 29,418.19

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Solution

The third proportional to 13,661.16 and 29,418.19 is: 63,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.16 : 29,418.19 = 29,418.19 : x
  2. Step 2: Convert to fraction form
    13,661.16/29,418.19 = 29,418.19/x
  3. Step 3: Cross multiply
    13,661.16x = 29,418.19 × 29,418.19
  4. Step 4: Simplify right side
    13,661.16x = 865,429,755.79
  5. Step 5: Solve for x
    x = 865,429,755.79/13,661.16
  6. Step 6: Final answer
    x = 63,349.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.