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Finding the Third Proportional to 20,514.94 and 32,140.13

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Solution

The third proportional to 20,514.94 and 32,140.13 is: 50,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.94 : 32,140.13 = 32,140.13 : x
  2. Step 2: Convert to fraction form
    20,514.94/32,140.13 = 32,140.13/x
  3. Step 3: Cross multiply
    20,514.94x = 32,140.13 × 32,140.13
  4. Step 4: Simplify right side
    20,514.94x = 1,032,987,635.02
  5. Step 5: Solve for x
    x = 1,032,987,635.02/20,514.94
  6. Step 6: Final answer
    x = 50,352.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.