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Finding the Third Proportional to 1,370.67 and 2,971.97

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Solution

The third proportional to 1,370.67 and 2,971.97 is: 6,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.67 : 2,971.97 = 2,971.97 : x
  2. Step 2: Convert to fraction form
    1,370.67/2,971.97 = 2,971.97/x
  3. Step 3: Cross multiply
    1,370.67x = 2,971.97 × 2,971.97
  4. Step 4: Simplify right side
    1,370.67x = 8,832,598.25
  5. Step 5: Solve for x
    x = 8,832,598.25/1,370.67
  6. Step 6: Final answer
    x = 6,443.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.