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Finding the Third Proportional to 41,536 and 66,032

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Solution

The third proportional to 41,536 and 66,032 is: 104,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536 : 66,032 = 66,032 : x
  2. Step 2: Convert to fraction form
    41,536/66,032 = 66,032/x
  3. Step 3: Cross multiply
    41,536x = 66,032 × 66,032
  4. Step 4: Simplify right side
    41,536x = 4,360,225,024
  5. Step 5: Solve for x
    x = 4,360,225,024/41,536
  6. Step 6: Final answer
    x = 104,974.60

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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.