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Finding the Third Proportional to 16,820.16 and 36,427.22

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Solution

The third proportional to 16,820.16 and 36,427.22 is: 78,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.16 : 36,427.22 = 36,427.22 : x
  2. Step 2: Convert to fraction form
    16,820.16/36,427.22 = 36,427.22/x
  3. Step 3: Cross multiply
    16,820.16x = 36,427.22 × 36,427.22
  4. Step 4: Simplify right side
    16,820.16x = 1,326,942,265.86
  5. Step 5: Solve for x
    x = 1,326,942,265.86/16,820.16
  6. Step 6: Final answer
    x = 78,890.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.