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Finding the Third Proportional to 37,027.13 and 49,506.19

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Solution

The third proportional to 37,027.13 and 49,506.19 is: 66,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027.13 : 49,506.19 = 49,506.19 : x
  2. Step 2: Convert to fraction form
    37,027.13/49,506.19 = 49,506.19/x
  3. Step 3: Cross multiply
    37,027.13x = 49,506.19 × 49,506.19
  4. Step 4: Simplify right side
    37,027.13x = 2,450,862,600.79
  5. Step 5: Solve for x
    x = 2,450,862,600.79/37,027.13
  6. Step 6: Final answer
    x = 66,191.00

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.