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Finding the Third Proportional to 37,686.38 and 58,604.63

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Solution

The third proportional to 37,686.38 and 58,604.63 is: 91,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,686.38 : 58,604.63 = 58,604.63 : x
  2. Step 2: Convert to fraction form
    37,686.38/58,604.63 = 58,604.63/x
  3. Step 3: Cross multiply
    37,686.38x = 58,604.63 × 58,604.63
  4. Step 4: Simplify right side
    37,686.38x = 3,434,502,071.39
  5. Step 5: Solve for x
    x = 3,434,502,071.39/37,686.38
  6. Step 6: Final answer
    x = 91,133.79

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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.