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Finding the Third Proportional to 19,514.25 and 27,884.25

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Solution

The third proportional to 19,514.25 and 27,884.25 is: 39,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.25 : 27,884.25 = 27,884.25 : x
  2. Step 2: Convert to fraction form
    19,514.25/27,884.25 = 27,884.25/x
  3. Step 3: Cross multiply
    19,514.25x = 27,884.25 × 27,884.25
  4. Step 4: Simplify right side
    19,514.25x = 777,531,398.06
  5. Step 5: Solve for x
    x = 777,531,398.06/19,514.25
  6. Step 6: Final answer
    x = 39,844.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.