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Finding the Third Proportional to 35,667 and 77,043

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Solution

The third proportional to 35,667 and 77,043 is: 166,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667 : 77,043 = 77,043 : x
  2. Step 2: Convert to fraction form
    35,667/77,043 = 77,043/x
  3. Step 3: Cross multiply
    35,667x = 77,043 × 77,043
  4. Step 4: Simplify right side
    35,667x = 5,935,623,849
  5. Step 5: Solve for x
    x = 5,935,623,849/35,667
  6. Step 6: Final answer
    x = 166,417.80

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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.