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Finding the Third Proportional to 35,688 and 76,296

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Solution

The third proportional to 35,688 and 76,296 is: 163,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,688 : 76,296 = 76,296 : x
  2. Step 2: Convert to fraction form
    35,688/76,296 = 76,296/x
  3. Step 3: Cross multiply
    35,688x = 76,296 × 76,296
  4. Step 4: Simplify right side
    35,688x = 5,821,079,616
  5. Step 5: Solve for x
    x = 5,821,079,616/35,688
  6. Step 6: Final answer
    x = 163,110.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.