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Finding the Third Proportional to 35,641 and 76,931

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Solution

The third proportional to 35,641 and 76,931 is: 166,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641 : 76,931 = 76,931 : x
  2. Step 2: Convert to fraction form
    35,641/76,931 = 76,931/x
  3. Step 3: Cross multiply
    35,641x = 76,931 × 76,931
  4. Step 4: Simplify right side
    35,641x = 5,918,378,761
  5. Step 5: Solve for x
    x = 5,918,378,761/35,641
  6. Step 6: Final answer
    x = 166,055.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.