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Finding the Third Proportional to 31,300.13 and 47,986.31

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Solution

The third proportional to 31,300.13 and 47,986.31 is: 73,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300.13 : 47,986.31 = 47,986.31 : x
  2. Step 2: Convert to fraction form
    31,300.13/47,986.31 = 47,986.31/x
  3. Step 3: Cross multiply
    31,300.13x = 47,986.31 × 47,986.31
  4. Step 4: Simplify right side
    31,300.13x = 2,302,686,187.35
  5. Step 5: Solve for x
    x = 2,302,686,187.35/31,300.13
  6. Step 6: Final answer
    x = 73,567.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.