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Finding the Third Proportional to 27,977.63 and 39,835.13

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Solution

The third proportional to 27,977.63 and 39,835.13 is: 56,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.63 : 39,835.13 = 39,835.13 : x
  2. Step 2: Convert to fraction form
    27,977.63/39,835.13 = 39,835.13/x
  3. Step 3: Cross multiply
    27,977.63x = 39,835.13 × 39,835.13
  4. Step 4: Simplify right side
    27,977.63x = 1,586,837,183.77
  5. Step 5: Solve for x
    x = 1,586,837,183.77/27,977.63
  6. Step 6: Final answer
    x = 56,718.08

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.