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Finding the Third Proportional to 35,788 and 77,728

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Solution

The third proportional to 35,788 and 77,728 is: 168,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788 : 77,728 = 77,728 : x
  2. Step 2: Convert to fraction form
    35,788/77,728 = 77,728/x
  3. Step 3: Cross multiply
    35,788x = 77,728 × 77,728
  4. Step 4: Simplify right side
    35,788x = 6,041,641,984
  5. Step 5: Solve for x
    x = 6,041,641,984/35,788
  6. Step 6: Final answer
    x = 168,817.54

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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.