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Finding the Third Proportional to 1,470.75 and 2,592.94

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Solution

The third proportional to 1,470.75 and 2,592.94 is: 4,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.75 : 2,592.94 = 2,592.94 : x
  2. Step 2: Convert to fraction form
    1,470.75/2,592.94 = 2,592.94/x
  3. Step 3: Cross multiply
    1,470.75x = 2,592.94 × 2,592.94
  4. Step 4: Simplify right side
    1,470.75x = 6,723,324.88
  5. Step 5: Solve for x
    x = 6,723,324.88/1,470.75
  6. Step 6: Final answer
    x = 4,571.36

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.