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Finding the Third Proportional to 41,735 and 66,351

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Solution

The third proportional to 41,735 and 66,351 is: 105,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,735 : 66,351 = 66,351 : x
  2. Step 2: Convert to fraction form
    41,735/66,351 = 66,351/x
  3. Step 3: Cross multiply
    41,735x = 66,351 × 66,351
  4. Step 4: Simplify right side
    41,735x = 4,402,455,201
  5. Step 5: Solve for x
    x = 4,402,455,201/41,735
  6. Step 6: Final answer
    x = 105,485.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.