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Finding the Third Proportional to 9,431.44 and 13,823.16

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Solution

The third proportional to 9,431.44 and 13,823.16 is: 20,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.44 : 13,823.16 = 13,823.16 : x
  2. Step 2: Convert to fraction form
    9,431.44/13,823.16 = 13,823.16/x
  3. Step 3: Cross multiply
    9,431.44x = 13,823.16 × 13,823.16
  4. Step 4: Simplify right side
    9,431.44x = 191,079,648.71
  5. Step 5: Solve for x
    x = 191,079,648.71/9,431.44
  6. Step 6: Final answer
    x = 20,259.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.