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Finding the Third Proportional to 37,964.95 and 58,433.91

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Solution

The third proportional to 37,964.95 and 58,433.91 is: 89,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,964.95 : 58,433.91 = 58,433.91 : x
  2. Step 2: Convert to fraction form
    37,964.95/58,433.91 = 58,433.91/x
  3. Step 3: Cross multiply
    37,964.95x = 58,433.91 × 58,433.91
  4. Step 4: Simplify right side
    37,964.95x = 3,414,521,399.63
  5. Step 5: Solve for x
    x = 3,414,521,399.63/37,964.95
  6. Step 6: Final answer
    x = 89,938.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.