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Finding the Third Proportional to 43,155.75 and 66,243

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Solution

The third proportional to 43,155.75 and 66,243 is: 101,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,155.75 : 66,243 = 66,243 : x
  2. Step 2: Convert to fraction form
    43,155.75/66,243 = 66,243/x
  3. Step 3: Cross multiply
    43,155.75x = 66,243 × 66,243
  4. Step 4: Simplify right side
    43,155.75x = 4,388,135,049
  5. Step 5: Solve for x
    x = 4,388,135,049/43,155.75
  6. Step 6: Final answer
    x = 101,681.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.