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Finding the Third Proportional to 37,980.50 and 58,957

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Solution

The third proportional to 37,980.50 and 58,957 is: 91,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980.50 : 58,957 = 58,957 : x
  2. Step 2: Convert to fraction form
    37,980.50/58,957 = 58,957/x
  3. Step 3: Cross multiply
    37,980.50x = 58,957 × 58,957
  4. Step 4: Simplify right side
    37,980.50x = 3,475,927,849
  5. Step 5: Solve for x
    x = 3,475,927,849/37,980.50
  6. Step 6: Final answer
    x = 91,518.75

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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.