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Finding the Third Proportional to 22,514.63 and 35,083.13

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Solution

The third proportional to 22,514.63 and 35,083.13 is: 54,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.63 : 35,083.13 = 35,083.13 : x
  2. Step 2: Convert to fraction form
    22,514.63/35,083.13 = 35,083.13/x
  3. Step 3: Cross multiply
    22,514.63x = 35,083.13 × 35,083.13
  4. Step 4: Simplify right side
    22,514.63x = 1,230,825,659.77
  5. Step 5: Solve for x
    x = 1,230,825,659.77/22,514.63
  6. Step 6: Final answer
    x = 54,667.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.