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Finding the Third Proportional to 35,076 and 52,976

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Solution

The third proportional to 35,076 and 52,976 is: 80,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,076 : 52,976 = 52,976 : x
  2. Step 2: Convert to fraction form
    35,076/52,976 = 52,976/x
  3. Step 3: Cross multiply
    35,076x = 52,976 × 52,976
  4. Step 4: Simplify right side
    35,076x = 2,806,456,576
  5. Step 5: Solve for x
    x = 2,806,456,576/35,076
  6. Step 6: Final answer
    x = 80,010.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.