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Finding the Third Proportional to 1,312.75 and 2,014.75

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Solution

The third proportional to 1,312.75 and 2,014.75 is: 3,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.75 : 2,014.75 = 2,014.75 : x
  2. Step 2: Convert to fraction form
    1,312.75/2,014.75 = 2,014.75/x
  3. Step 3: Cross multiply
    1,312.75x = 2,014.75 × 2,014.75
  4. Step 4: Simplify right side
    1,312.75x = 4,059,217.56
  5. Step 5: Solve for x
    x = 4,059,217.56/1,312.75
  6. Step 6: Final answer
    x = 3,092.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.