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Finding the Third Proportional to 16,200.14 and 35,514.14

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Solution

The third proportional to 16,200.14 and 35,514.14 is: 77,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.14 : 35,514.14 = 35,514.14 : x
  2. Step 2: Convert to fraction form
    16,200.14/35,514.14 = 35,514.14/x
  3. Step 3: Cross multiply
    16,200.14x = 35,514.14 × 35,514.14
  4. Step 4: Simplify right side
    16,200.14x = 1,261,254,184.33
  5. Step 5: Solve for x
    x = 1,261,254,184.33/16,200.14
  6. Step 6: Final answer
    x = 77,854.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.