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Finding the Third Proportional to 35,976 and 56,310

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Solution

The third proportional to 35,976 and 56,310 is: 88,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,976 : 56,310 = 56,310 : x
  2. Step 2: Convert to fraction form
    35,976/56,310 = 56,310/x
  3. Step 3: Cross multiply
    35,976x = 56,310 × 56,310
  4. Step 4: Simplify right side
    35,976x = 3,170,816,100
  5. Step 5: Solve for x
    x = 3,170,816,100/35,976
  6. Step 6: Final answer
    x = 88,136.98

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