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Finding the Third Proportional to 35,938 and 56,968

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Solution

The third proportional to 35,938 and 56,968 is: 90,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,938 : 56,968 = 56,968 : x
  2. Step 2: Convert to fraction form
    35,938/56,968 = 56,968/x
  3. Step 3: Cross multiply
    35,938x = 56,968 × 56,968
  4. Step 4: Simplify right side
    35,938x = 3,245,353,024
  5. Step 5: Solve for x
    x = 3,245,353,024/35,938
  6. Step 6: Final answer
    x = 90,304.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.