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Finding the Third Proportional to 2,715.50 and 5,898.25

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Solution

The third proportional to 2,715.50 and 5,898.25 is: 12,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.50 : 5,898.25 = 5,898.25 : x
  2. Step 2: Convert to fraction form
    2,715.50/5,898.25 = 5,898.25/x
  3. Step 3: Cross multiply
    2,715.50x = 5,898.25 × 5,898.25
  4. Step 4: Simplify right side
    2,715.50x = 34,789,353.06
  5. Step 5: Solve for x
    x = 34,789,353.06/2,715.50
  6. Step 6: Final answer
    x = 12,811.40

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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.