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Finding the Third Proportional to 2,257.13 and 3,470.63

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Solution

The third proportional to 2,257.13 and 3,470.63 is: 5,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.13 : 3,470.63 = 3,470.63 : x
  2. Step 2: Convert to fraction form
    2,257.13/3,470.63 = 3,470.63/x
  3. Step 3: Cross multiply
    2,257.13x = 3,470.63 × 3,470.63
  4. Step 4: Simplify right side
    2,257.13x = 12,045,237.89
  5. Step 5: Solve for x
    x = 12,045,237.89/2,257.13
  6. Step 6: Final answer
    x = 5,336.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.