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Finding the Third Proportional to 37,549.69 and 58,478.63

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Solution

The third proportional to 37,549.69 and 58,478.63 is: 91,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,549.69 : 58,478.63 = 58,478.63 : x
  2. Step 2: Convert to fraction form
    37,549.69/58,478.63 = 58,478.63/x
  3. Step 3: Cross multiply
    37,549.69x = 58,478.63 × 58,478.63
  4. Step 4: Simplify right side
    37,549.69x = 3,419,749,581.89
  5. Step 5: Solve for x
    x = 3,419,749,581.89/37,549.69
  6. Step 6: Final answer
    x = 91,072.65

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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.