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Finding the Third Proportional to 22,607.44 and 45,830.81

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Solution

The third proportional to 22,607.44 and 45,830.81 is: 92,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.44 : 45,830.81 = 45,830.81 : x
  2. Step 2: Convert to fraction form
    22,607.44/45,830.81 = 45,830.81/x
  3. Step 3: Cross multiply
    22,607.44x = 45,830.81 × 45,830.81
  4. Step 4: Simplify right side
    22,607.44x = 2,100,463,374.41
  5. Step 5: Solve for x
    x = 2,100,463,374.41/22,607.44
  6. Step 6: Final answer
    x = 92,910.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.