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Finding the Third Proportional to 41,490 and 65,967

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Solution

The third proportional to 41,490 and 65,967 is: 104,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,490 : 65,967 = 65,967 : x
  2. Step 2: Convert to fraction form
    41,490/65,967 = 65,967/x
  3. Step 3: Cross multiply
    41,490x = 65,967 × 65,967
  4. Step 4: Simplify right side
    41,490x = 4,351,645,089
  5. Step 5: Solve for x
    x = 4,351,645,089/41,490
  6. Step 6: Final answer
    x = 104,884.19

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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.