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Finding the Third Proportional to 42,989.81 and 57,335.06

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Solution

The third proportional to 42,989.81 and 57,335.06 is: 76,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,989.81 : 57,335.06 = 57,335.06 : x
  2. Step 2: Convert to fraction form
    42,989.81/57,335.06 = 57,335.06/x
  3. Step 3: Cross multiply
    42,989.81x = 57,335.06 × 57,335.06
  4. Step 4: Simplify right side
    42,989.81x = 3,287,309,391.88
  5. Step 5: Solve for x
    x = 3,287,309,391.88/42,989.81
  6. Step 6: Final answer
    x = 76,467.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.