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Finding the Third Proportional to 2,526.75 and 2,914.88

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Solution

The third proportional to 2,526.75 and 2,914.88 is: 3,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.75 : 2,914.88 = 2,914.88 : x
  2. Step 2: Convert to fraction form
    2,526.75/2,914.88 = 2,914.88/x
  3. Step 3: Cross multiply
    2,526.75x = 2,914.88 × 2,914.88
  4. Step 4: Simplify right side
    2,526.75x = 8,496,496.27
  5. Step 5: Solve for x
    x = 8,496,496.27/2,526.75
  6. Step 6: Final answer
    x = 3,362.62

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.