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Finding the Third Proportional to 35,553 and 76,807

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Solution

The third proportional to 35,553 and 76,807 is: 165,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,553 : 76,807 = 76,807 : x
  2. Step 2: Convert to fraction form
    35,553/76,807 = 76,807/x
  3. Step 3: Cross multiply
    35,553x = 76,807 × 76,807
  4. Step 4: Simplify right side
    35,553x = 5,899,315,249
  5. Step 5: Solve for x
    x = 5,899,315,249/35,553
  6. Step 6: Final answer
    x = 165,930.17

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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.