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Finding the Third Proportional to 13,790.25 and 29,766.94

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Solution

The third proportional to 13,790.25 and 29,766.94 is: 64,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.25 : 29,766.94 = 29,766.94 : x
  2. Step 2: Convert to fraction form
    13,790.25/29,766.94 = 29,766.94/x
  3. Step 3: Cross multiply
    13,790.25x = 29,766.94 × 29,766.94
  4. Step 4: Simplify right side
    13,790.25x = 886,070,568.13
  5. Step 5: Solve for x
    x = 886,070,568.13/13,790.25
  6. Step 6: Final answer
    x = 64,253.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.