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Finding the Third Proportional to 2,535 and 4,282.50

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Solution

The third proportional to 2,535 and 4,282.50 is: 7,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535 : 4,282.50 = 4,282.50 : x
  2. Step 2: Convert to fraction form
    2,535/4,282.50 = 4,282.50/x
  3. Step 3: Cross multiply
    2,535x = 4,282.50 × 4,282.50
  4. Step 4: Simplify right side
    2,535x = 18,339,806.25
  5. Step 5: Solve for x
    x = 18,339,806.25/2,535
  6. Step 6: Final answer
    x = 7,234.64

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.