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Finding the Third Proportional to 2,641.50 and 5,715

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Solution

The third proportional to 2,641.50 and 5,715 is: 12,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.50 : 5,715 = 5,715 : x
  2. Step 2: Convert to fraction form
    2,641.50/5,715 = 5,715/x
  3. Step 3: Cross multiply
    2,641.50x = 5,715 × 5,715
  4. Step 4: Simplify right side
    2,641.50x = 32,661,225
  5. Step 5: Solve for x
    x = 32,661,225/2,641.50
  6. Step 6: Final answer
    x = 12,364.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.