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Finding the Third Proportional to 37,548.56 and 58,476.94

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Solution

The third proportional to 37,548.56 and 58,476.94 is: 91,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,548.56 : 58,476.94 = 58,476.94 : x
  2. Step 2: Convert to fraction form
    37,548.56/58,476.94 = 58,476.94/x
  3. Step 3: Cross multiply
    37,548.56x = 58,476.94 × 58,476.94
  4. Step 4: Simplify right side
    37,548.56x = 3,419,552,219.38
  5. Step 5: Solve for x
    x = 3,419,552,219.38/37,548.56
  6. Step 6: Final answer
    x = 91,070.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.