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Finding the Third Proportional to 35,968 and 56,304

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Solution

The third proportional to 35,968 and 56,304 is: 88,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968 : 56,304 = 56,304 : x
  2. Step 2: Convert to fraction form
    35,968/56,304 = 56,304/x
  3. Step 3: Cross multiply
    35,968x = 56,304 × 56,304
  4. Step 4: Simplify right side
    35,968x = 3,170,140,416
  5. Step 5: Solve for x
    x = 3,170,140,416/35,968
  6. Step 6: Final answer
    x = 88,137.80

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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.