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Finding the Third Proportional to 35,440.25 and 57,102.25

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Solution

The third proportional to 35,440.25 and 57,102.25 is: 92,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,440.25 : 57,102.25 = 57,102.25 : x
  2. Step 2: Convert to fraction form
    35,440.25/57,102.25 = 57,102.25/x
  3. Step 3: Cross multiply
    35,440.25x = 57,102.25 × 57,102.25
  4. Step 4: Simplify right side
    35,440.25x = 3,260,666,955.06
  5. Step 5: Solve for x
    x = 3,260,666,955.06/35,440.25
  6. Step 6: Final answer
    x = 92,004.63

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.