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Finding the Third Proportional to 6,078.80 and 14,445.21

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Solution

The third proportional to 6,078.80 and 14,445.21 is: 34,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.80 : 14,445.21 = 14,445.21 : x
  2. Step 2: Convert to fraction form
    6,078.80/14,445.21 = 14,445.21/x
  3. Step 3: Cross multiply
    6,078.80x = 14,445.21 × 14,445.21
  4. Step 4: Simplify right side
    6,078.80x = 208,664,119.03
  5. Step 5: Solve for x
    x = 208,664,119.03/6,078.80
  6. Step 6: Final answer
    x = 34,326.55

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.