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Finding the Third Proportional to 35,863 and 77,944

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Solution

The third proportional to 35,863 and 77,944 is: 169,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,863 : 77,944 = 77,944 : x
  2. Step 2: Convert to fraction form
    35,863/77,944 = 77,944/x
  3. Step 3: Cross multiply
    35,863x = 77,944 × 77,944
  4. Step 4: Simplify right side
    35,863x = 6,075,267,136
  5. Step 5: Solve for x
    x = 6,075,267,136/35,863
  6. Step 6: Final answer
    x = 169,402.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.