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Finding the Third Proportional to 6,306.19 and 12,293.44

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Solution

The third proportional to 6,306.19 and 12,293.44 is: 23,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.19 : 12,293.44 = 12,293.44 : x
  2. Step 2: Convert to fraction form
    6,306.19/12,293.44 = 12,293.44/x
  3. Step 3: Cross multiply
    6,306.19x = 12,293.44 × 12,293.44
  4. Step 4: Simplify right side
    6,306.19x = 151,128,605.57
  5. Step 5: Solve for x
    x = 151,128,605.57/6,306.19
  6. Step 6: Final answer
    x = 23,965.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.