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Finding the Third Proportional to 35,980 and 56,318

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Solution

The third proportional to 35,980 and 56,318 is: 88,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980 : 56,318 = 56,318 : x
  2. Step 2: Convert to fraction form
    35,980/56,318 = 56,318/x
  3. Step 3: Cross multiply
    35,980x = 56,318 × 56,318
  4. Step 4: Simplify right side
    35,980x = 3,171,717,124
  5. Step 5: Solve for x
    x = 3,171,717,124/35,980
  6. Step 6: Final answer
    x = 88,152.23

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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.