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Finding the Third Proportional to 29,741 and 66,043

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Solution

The third proportional to 29,741 and 66,043 is: 146,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741 : 66,043 = 66,043 : x
  2. Step 2: Convert to fraction form
    29,741/66,043 = 66,043/x
  3. Step 3: Cross multiply
    29,741x = 66,043 × 66,043
  4. Step 4: Simplify right side
    29,741x = 4,361,677,849
  5. Step 5: Solve for x
    x = 4,361,677,849/29,741
  6. Step 6: Final answer
    x = 146,655.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.