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Finding the Third Proportional to 20,684.64 and 44,649.77

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Solution

The third proportional to 20,684.64 and 44,649.77 is: 96,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.64 : 44,649.77 = 44,649.77 : x
  2. Step 2: Convert to fraction form
    20,684.64/44,649.77 = 44,649.77/x
  3. Step 3: Cross multiply
    20,684.64x = 44,649.77 × 44,649.77
  4. Step 4: Simplify right side
    20,684.64x = 1,993,602,268.02
  5. Step 5: Solve for x
    x = 1,993,602,268.02/20,684.64
  6. Step 6: Final answer
    x = 96,380.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.