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Finding the Third Proportional to 20,605.64 and 44,491.78

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Solution

The third proportional to 20,605.64 and 44,491.78 is: 96,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.64 : 44,491.78 = 44,491.78 : x
  2. Step 2: Convert to fraction form
    20,605.64/44,491.78 = 44,491.78/x
  3. Step 3: Cross multiply
    20,605.64x = 44,491.78 × 44,491.78
  4. Step 4: Simplify right side
    20,605.64x = 1,979,518,598.80
  5. Step 5: Solve for x
    x = 1,979,518,598.80/20,605.64
  6. Step 6: Final answer
    x = 96,066.83

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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.