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Finding the Third Proportional to 36,984 and 58,912.13

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Solution

The third proportional to 36,984 and 58,912.13 is: 93,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,984 : 58,912.13 = 58,912.13 : x
  2. Step 2: Convert to fraction form
    36,984/58,912.13 = 58,912.13/x
  3. Step 3: Cross multiply
    36,984x = 58,912.13 × 58,912.13
  4. Step 4: Simplify right side
    36,984x = 3,470,638,472.02
  5. Step 5: Solve for x
    x = 3,470,638,472.02/36,984
  6. Step 6: Final answer
    x = 93,841.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.