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Finding the Third Proportional to 8,022.13 and 19,326.25

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Solution

The third proportional to 8,022.13 and 19,326.25 is: 46,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.13 : 19,326.25 = 19,326.25 : x
  2. Step 2: Convert to fraction form
    8,022.13/19,326.25 = 19,326.25/x
  3. Step 3: Cross multiply
    8,022.13x = 19,326.25 × 19,326.25
  4. Step 4: Simplify right side
    8,022.13x = 373,503,939.06
  5. Step 5: Solve for x
    x = 373,503,939.06/8,022.13
  6. Step 6: Final answer
    x = 46,559.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.