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Finding the Third Proportional to 35,663.25 and 77,037

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Solution

The third proportional to 35,663.25 and 77,037 is: 166,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,663.25 : 77,037 = 77,037 : x
  2. Step 2: Convert to fraction form
    35,663.25/77,037 = 77,037/x
  3. Step 3: Cross multiply
    35,663.25x = 77,037 × 77,037
  4. Step 4: Simplify right side
    35,663.25x = 5,934,699,369
  5. Step 5: Solve for x
    x = 5,934,699,369/35,663.25
  6. Step 6: Final answer
    x = 166,409.38

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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.