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Finding the Third Proportional to 6,378.75 and 12,058.88

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Solution

The third proportional to 6,378.75 and 12,058.88 is: 22,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 12,058.88 = 12,058.88 : x
  2. Step 2: Convert to fraction form
    6,378.75/12,058.88 = 12,058.88/x
  3. Step 3: Cross multiply
    6,378.75x = 12,058.88 × 12,058.88
  4. Step 4: Simplify right side
    6,378.75x = 145,416,466.27
  5. Step 5: Solve for x
    x = 145,416,466.27/6,378.75
  6. Step 6: Final answer
    x = 22,797.02

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.