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Finding the Third Proportional to 9,923.61 and 21,286.23

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Solution

The third proportional to 9,923.61 and 21,286.23 is: 45,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.61 : 21,286.23 = 21,286.23 : x
  2. Step 2: Convert to fraction form
    9,923.61/21,286.23 = 21,286.23/x
  3. Step 3: Cross multiply
    9,923.61x = 21,286.23 × 21,286.23
  4. Step 4: Simplify right side
    9,923.61x = 453,103,607.57
  5. Step 5: Solve for x
    x = 453,103,607.57/9,923.61
  6. Step 6: Final answer
    x = 45,659.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.