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Finding the Third Proportional to 37,661.06 and 58,314.94

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Solution

The third proportional to 37,661.06 and 58,314.94 is: 90,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.06 : 58,314.94 = 58,314.94 : x
  2. Step 2: Convert to fraction form
    37,661.06/58,314.94 = 58,314.94/x
  3. Step 3: Cross multiply
    37,661.06x = 58,314.94 × 58,314.94
  4. Step 4: Simplify right side
    37,661.06x = 3,400,631,935.63
  5. Step 5: Solve for x
    x = 3,400,631,935.63/37,661.06
  6. Step 6: Final answer
    x = 90,295.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.