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Finding the Third Proportional to 46,195.13 and 64,361.44

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Solution

The third proportional to 46,195.13 and 64,361.44 is: 89,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,195.13 : 64,361.44 = 64,361.44 : x
  2. Step 2: Convert to fraction form
    46,195.13/64,361.44 = 64,361.44/x
  3. Step 3: Cross multiply
    46,195.13x = 64,361.44 × 64,361.44
  4. Step 4: Simplify right side
    46,195.13x = 4,142,394,637.07
  5. Step 5: Solve for x
    x = 4,142,394,637.07/46,195.13
  6. Step 6: Final answer
    x = 89,671.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.