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Finding the Third Proportional to 5,055.30 and 10,514.26

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Solution

The third proportional to 5,055.30 and 10,514.26 is: 21,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.30 : 10,514.26 = 10,514.26 : x
  2. Step 2: Convert to fraction form
    5,055.30/10,514.26 = 10,514.26/x
  3. Step 3: Cross multiply
    5,055.30x = 10,514.26 × 10,514.26
  4. Step 4: Simplify right side
    5,055.30x = 110,549,637.88
  5. Step 5: Solve for x
    x = 110,549,637.88/5,055.30
  6. Step 6: Final answer
    x = 21,868.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.