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Finding the Third Proportional to 5,970.38 and 12,733.03

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Solution

The third proportional to 5,970.38 and 12,733.03 is: 27,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.38 : 12,733.03 = 12,733.03 : x
  2. Step 2: Convert to fraction form
    5,970.38/12,733.03 = 12,733.03/x
  3. Step 3: Cross multiply
    5,970.38x = 12,733.03 × 12,733.03
  4. Step 4: Simplify right side
    5,970.38x = 162,130,084.81
  5. Step 5: Solve for x
    x = 162,130,084.81/5,970.38
  6. Step 6: Final answer
    x = 27,155.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.