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Finding the Third Proportional to 6,393 and 13,948.13

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Solution

The third proportional to 6,393 and 13,948.13 is: 30,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393 : 13,948.13 = 13,948.13 : x
  2. Step 2: Convert to fraction form
    6,393/13,948.13 = 13,948.13/x
  3. Step 3: Cross multiply
    6,393x = 13,948.13 × 13,948.13
  4. Step 4: Simplify right side
    6,393x = 194,550,191.02
  5. Step 5: Solve for x
    x = 194,550,191.02/6,393
  6. Step 6: Final answer
    x = 30,431.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.