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Finding the Third Proportional to 35,972 and 56,305

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Solution

The third proportional to 35,972 and 56,305 is: 88,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972 : 56,305 = 56,305 : x
  2. Step 2: Convert to fraction form
    35,972/56,305 = 56,305/x
  3. Step 3: Cross multiply
    35,972x = 56,305 × 56,305
  4. Step 4: Simplify right side
    35,972x = 3,170,253,025
  5. Step 5: Solve for x
    x = 3,170,253,025/35,972
  6. Step 6: Final answer
    x = 88,131.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.