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Finding the Third Proportional to 31,314.38 and 55,189.13

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Solution

The third proportional to 31,314.38 and 55,189.13 is: 97,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.38 : 55,189.13 = 55,189.13 : x
  2. Step 2: Convert to fraction form
    31,314.38/55,189.13 = 55,189.13/x
  3. Step 3: Cross multiply
    31,314.38x = 55,189.13 × 55,189.13
  4. Step 4: Simplify right side
    31,314.38x = 3,045,839,518.27
  5. Step 5: Solve for x
    x = 3,045,839,518.27/31,314.38
  6. Step 6: Final answer
    x = 97,266.50

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.