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Finding the Third Proportional to 1,971.53 and 4,310.40

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Solution

The third proportional to 1,971.53 and 4,310.40 is: 9,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.53 : 4,310.40 = 4,310.40 : x
  2. Step 2: Convert to fraction form
    1,971.53/4,310.40 = 4,310.40/x
  3. Step 3: Cross multiply
    1,971.53x = 4,310.40 × 4,310.40
  4. Step 4: Simplify right side
    1,971.53x = 18,579,568.37
  5. Step 5: Solve for x
    x = 18,579,568.37/1,971.53
  6. Step 6: Final answer
    x = 9,423.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.