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Finding the Third Proportional to 43,011 and 66,435

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Solution

The third proportional to 43,011 and 66,435 is: 102,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,011 : 66,435 = 66,435 : x
  2. Step 2: Convert to fraction form
    43,011/66,435 = 66,435/x
  3. Step 3: Cross multiply
    43,011x = 66,435 × 66,435
  4. Step 4: Simplify right side
    43,011x = 4,413,609,225
  5. Step 5: Solve for x
    x = 4,413,609,225/43,011
  6. Step 6: Final answer
    x = 102,615.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.